This document contains 20 multiple choice and written response questions regarding statistical concepts such as probability, confidence intervals, hypothesis testing, and linear regression. The questions cover topics like binomial and normal distributions, sampling, measures of center and variation, the central limit theorem, and the relationship between statistical significance and p-values. Students are asked to identify hypotheses, calculate test statistics, determine p-values, perform statistical computations, interpret results, and justify their answers.
You must not work with another person on this exam Experience Tradition/tutor...pinck336896
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
Show your work. You may use your book, notes, and other resources I have provided. You must not work with another person on this exam. If I have evidence that you worked or copied someone else’s work you may lose all points for that problem or potentially you will receive a zero on the exam; that goes for the other person as well. To avoid this potential problem, do not take this exam with someone else; do not talk about the problems in this exam with someone else. Instead, you can use problems from the homework as a conduit if needed. Do not compare answers with someone else. Write out values to four decimal places if the decimal representation does not terminate after four decimals. For situations you can write the values using fractions you can leave the answer in unreduced fraction form.
Please Subscribe to this Channel for more solutions and lectures
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Elementary Statistics Practice Test 2
Chapter 4: Probability
Suppose you are interested in selecting a group of six households Experience...pinck336896
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
1. Suppose that in a large metropolitan area, 82% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion of
groups will at most three of the households have cable tv?
You must not work with another person on this exam Experience Tradition/tutor...pinck336896
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
Show your work. You may use your book, notes, and other resources I have provided. You must not work with another person on this exam. If I have evidence that you worked or copied someone else’s work you may lose all points for that problem or potentially you will receive a zero on the exam; that goes for the other person as well. To avoid this potential problem, do not take this exam with someone else; do not talk about the problems in this exam with someone else. Instead, you can use problems from the homework as a conduit if needed. Do not compare answers with someone else. Write out values to four decimal places if the decimal representation does not terminate after four decimals. For situations you can write the values using fractions you can leave the answer in unreduced fraction form.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 2
Chapter 4: Probability
Suppose you are interested in selecting a group of six households Experience...pinck336896
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
1. Suppose that in a large metropolitan area, 82% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of
households in a group of six households from this area that have cable tv. For what proportion of
groups will at most three of the households have cable tv?
Probability for Machine Learning
Here is a scant introduction to an important subject in Machine Learning. However, we are looking to work with our Probability Professor, Ofelia Begovich to write a series of notes in basic probability for something else, to improve this introduction. Nevertheless, there are still several things like:
1.- Linear Algebra
2.- Topology
3.- Mathematical Analysis
4.- Optimization
That need to be addressed, thus I am working in a class for intelligent systems for that.
It is a consolidation of basic probability concepts worth understanding before attempting to apply probability concepts for predictions. The material is formed from different sources. ll the sources are acknowledged.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 2 Solutions
Chapter 4: Probability
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Chapter 4: Probability
4.1: Basic Concepts of Probability
JEE Mathematics/ Lakshmikanta Satapathy/ Questions and answers part 7 involving probability distribution and determination of mean and variance of a random variable
DC-ACM - Hybrid Cloud Pathways for Games and the IoTCynthia Calongne
Hosts Dr. Andrew Stricker and Dr. Cynthia Calongne presented the webinar Hybrid Cloud Pathways Blending Games, Immersive Micro-Simulations and the IoT for the DC-ACM Chapter on March 7, 2016 at 6:30 PM Eastern.
21st November 2013, PEB Steel Buildings Co. Ltd organized a factory tour with the objective of inviting students, awarded a scholarship by the PEB Foundation during recent PEB’s university tours, to a guided on-site visit.
http://www.pebsteel.com
This wonderful tour was warmly welcomed with great interest and enthusiasm from students as well as alumnus. During the tour, they were introduced to a closed manufacturing process of a pre-engineered steel building. It was also the ideal opportunity for them to keep update with not only the latest applied knowledge and theory but also view the cutting-edge technology currently employed as well. They were very satisfied and hope that in future PEB Steel will organize more and more of these useful events to inform them of the procedures and theory behind manufacturing pre-engineered steel buildings in Vietnam.
Blue brain " -The name of the world's first virtual brain. That means a machine that can function as human brain. Today scientists are in research to create an artificial brain that can think, response, take decision, and keep anything in memory. The main aim is to upload human brain into machine. So that man can think, take decision without any effort. After the death of the body, the virtual brain will act as the man .So, even after the death of a person we will not loose the knowledge, intelligence, personalities, feelings and memories of that man that can be used for the development of the human society.
Learn, Teach, Help, Enjoy! Enhancing Your Ed Tech Superpowers 2016Martin Cisneros
We'll examine the emerging technology leader's role (site, district, etc) and how, through technology planning, tools and resources, they can be a more effective Technology Leader.
Probability for Machine Learning
Here is a scant introduction to an important subject in Machine Learning. However, we are looking to work with our Probability Professor, Ofelia Begovich to write a series of notes in basic probability for something else, to improve this introduction. Nevertheless, there are still several things like:
1.- Linear Algebra
2.- Topology
3.- Mathematical Analysis
4.- Optimization
That need to be addressed, thus I am working in a class for intelligent systems for that.
It is a consolidation of basic probability concepts worth understanding before attempting to apply probability concepts for predictions. The material is formed from different sources. ll the sources are acknowledged.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 2 Solutions
Chapter 4: Probability
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Chapter 4: Probability
4.1: Basic Concepts of Probability
JEE Mathematics/ Lakshmikanta Satapathy/ Questions and answers part 7 involving probability distribution and determination of mean and variance of a random variable
DC-ACM - Hybrid Cloud Pathways for Games and the IoTCynthia Calongne
Hosts Dr. Andrew Stricker and Dr. Cynthia Calongne presented the webinar Hybrid Cloud Pathways Blending Games, Immersive Micro-Simulations and the IoT for the DC-ACM Chapter on March 7, 2016 at 6:30 PM Eastern.
21st November 2013, PEB Steel Buildings Co. Ltd organized a factory tour with the objective of inviting students, awarded a scholarship by the PEB Foundation during recent PEB’s university tours, to a guided on-site visit.
http://www.pebsteel.com
This wonderful tour was warmly welcomed with great interest and enthusiasm from students as well as alumnus. During the tour, they were introduced to a closed manufacturing process of a pre-engineered steel building. It was also the ideal opportunity for them to keep update with not only the latest applied knowledge and theory but also view the cutting-edge technology currently employed as well. They were very satisfied and hope that in future PEB Steel will organize more and more of these useful events to inform them of the procedures and theory behind manufacturing pre-engineered steel buildings in Vietnam.
Blue brain " -The name of the world's first virtual brain. That means a machine that can function as human brain. Today scientists are in research to create an artificial brain that can think, response, take decision, and keep anything in memory. The main aim is to upload human brain into machine. So that man can think, take decision without any effort. After the death of the body, the virtual brain will act as the man .So, even after the death of a person we will not loose the knowledge, intelligence, personalities, feelings and memories of that man that can be used for the development of the human society.
Learn, Teach, Help, Enjoy! Enhancing Your Ed Tech Superpowers 2016Martin Cisneros
We'll examine the emerging technology leader's role (site, district, etc) and how, through technology planning, tools and resources, they can be a more effective Technology Leader.
Dan Faggella - TEDx Slides 2015 - Artificial intelligence and ConsciousnessDaniel Faggella
URL of the original TEDx Talk: https://www.youtube.com/watch?v=PjiZbMhqqTM
Notes from my 2015 TEDx presentation, titled: "We Should Wake Up Before The Machines Do," on the topic of artificial intelligence and consciousness.
Speaker: Daniel Faggella
Location: Southern New Hampshire University
STAT 200 Introduction to Statistics Page 1 of91. True or .docxwhitneyleman54422
STAT 200: Introduction to Statistics Page 1 of9
1. True or False. Show work.
(a) If A and B are disjoint, peA) = 0.4 and PCB) = 0.5, then peA OR B) = 0.9.
(b) If the variance for a data set is zero, then all the observations in this data set must be
identicaL
(c) There may be more than one mode in a data set.
(d) A 90% confidence interval is wider than a 95% confidence interval of the same parameter.
(e) In a right-tailed test, the value of the test statistic is 2. The test statistic follows a
distribution with the distribution curve shown below. If we know the shaded area is 0.03,
then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.
2. Choose the best answer. Show work.
(a) UMUC STAT Club wanted to estimate the study hours of STAT 200 students. One STAT 200
section was randomly selected and all students from that section were asked to fill out the
questionnaire. This type of sampling is called:
(i) cluster
(ii) convenience
(iii) systematic
(iv) stratified
STAT 200: Introduction to Statistics Page 2 of9
(b) A study was conducted at a local college to analyze the trend of average GPA of all students
graduated from the college. According to the Registrar, the average GPA for students with
economics major from the class of2016 is 3.5. The value 3.5 is a
(i) statistic
(ii) parameter
(iii) cannot be determined
STAT 200: Introductionto Statistics Page 3 of9
(c) The hotel ratings are usually on a scale from 0 star to 5 stars. The level of this measurement is
(i) interval
(ii) nominal
(iii) ordinal
(iv) ratio
(d) 500 students took a chemistry test. You sampled 100 students to estimate the average score and
the standard deviation. How many degrees of freedom were there in the estimation of the
standard deviation?
(i) 99
(ii) 100
(iii) 499
(iv) 500
(e) You choose an alpha level of 0.01 and then analyze your data. What is the probability that you will
make a Type Ierror given that the null hypothesis is true?
(i) 0.025
(ii) 0.05
(iii) 0.01
(iv) 0.10
STAT 200: Introduction to Statistics Page 4 of9
3. A random sample of 500 students was chosen from UMUC STAT 200 classes. The frequency
distribution below shows the distribution for study time each week (in hours). Show work.
Study Time (in hours) Frequency Relative Frequency
0.0-5.0 40
5.1-10.0 100
10.1-15.0 0.25
15.1- 20.0 120
20.1- 25.0
Total 500
(a) Complete the frequency table with frequency and relative frequency. Express the relative
frequency to two decimal places.
(b) What percentage of the study times was not more than 15 hours?
(c) In what class interval must the median lie? 5.1-10.0, 10.1 -15.0, 15.1- 20.0, or 20.1 - 25.0?
Why?
STAT 200: Introduction to Statistics Page 5 of9
4. The five-number summary below shows the grade distribution of a STAT 200 quiz for a
sample of 500 students.
20 45 65 75 tOO
o /0 20 30 40 50 60 70 80 90 100
Answer each question based on the given information, and explain your answer in each
ca.
STAT 200 Final ExaminationFall 2016 OL3Page 4 of 9Answer all 2.docxwhitneyleman54422
STAT 200 Final ExaminationFall 2016 OL3Page 4 of 9
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from calculators, programs or software packages without explanation will not be accepted. If you need to use technology to aid in your calculation, you have to cite the source and explain how you get the results. For example, state the Excel function along with the required parameters when using Excel; describe the detailed steps when using a hand-held calculator; or provide the URL and detailed steps when using an online calculator, and so on.
Show all supporting work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
Record your answers and work.
Problem Number
Solution
1
Answer:
(a)
(b)
(c)
(d)
(e)
Justification:
2
Answer:
(a)
(b)
(c)
Justification:
3
Answer:
(a)
(b)
Justification:
4
Answer:
(a)
IQ Scores
Frequency
Relative Frequency
50 - 69
23
70 - 89
0.250
90 -109
450
110 - 129
130 - 149
23
Total
1000
(b)
(c)
Work for (a) and (b):
5
Answer:
(a)
(b)
(c)
Justification:
6
Answer:
(a)
(b)
Work for (a) and (b):
7
Answer:
(a)
(b)
Work for (b):
8
Answer:
(a)
(b)
Work for (a) and (b):
9
Answer:
(a)
(b)
Work for (a) and (b):
10
Answer:
Work:
11
Answer:
(a)
(b)
Work for (b) :
12
Answer:
(a)
(b)
Work for (a) and (b):
13
Answer:
(a)
(b)
Work for (a) and (b):
14
Answer:
Work:
15
Answer:
Work:
16
Answer:
(a)
(b)
(c)
(d)
Work for (b) and (c):
17
Answer:
(a)
(b)
(c)
(d)
Work for (b) and (c):
18
Answers:
(a)
(b)
(c)
(d).
Work for (b) and (c):
19
Answer:
(a)
(b)
(c)
(d)
Work for (b) and (c):
20
Answer:
(a)
(b)
Work for (a) and (b):
STAT 200: Introduction to Statistics Final Examination, Fall 2016 OL3 Page 2 of 8
1. True or False. Justify for full credit.
(a) A is an event, and Ac is the complement of A, then P(A AND Ac ) = 0.
(b) If the variance of a data set is 0, then all the observations in this data set must be zero.
(c) If a 95% confidence interval for a population mean contains 1, then the 99% confidence
interval for the same parameter must contain 1
(d) When plotted on the same gra.
STAT 200 Introduction to Statistics Final Examination, Su.docxwhitneyleman54422
STAT 200: Introduction to Statistics Final Examination, Summer 2016 OL2 Page 1 of 8
STAT 200
OL2 Sections
Final Exam
Summer 2016
The final exam will be posted at 12:01 am on July 22, and it is due
at 11:59 pm on July 24, 2016. Eastern Time is our reference time.
This is an open-book exam. You may refer to your text and other course materials
as you work on the exam, and you may use a calculator. You must complete the
exam individually. Neither collaboration nor consultation with others is allowed.
It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use
unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible.
Show all of your supporting work and reasoning. Answers that come straight
from calculators, programs or software packages without any explanation will not
be accepted. If you need to use technology (for example, Excel, online or hand-
held calculators, statistical packages) to aid in your calculation, you must cite the
sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 200 total points; 10 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
STAT 200: Introduction to Statistics Final Examination, Summer 2016 OL2 Page 2 of 8
1. True or False. Justify for full credit.
(a) If P(A) = 0.4, P(B) = 0.5, and A and B are independent, then P(A AND B) = 0.2.
(b) If the variance of a data set is 0, then all the observations in this data set must be zero.
(c) The mean is always equal to the median for a normal distribution.
(d) A 90% confidence interval is wider than a 95% confidence interval of the same parameter.
(e) In a right-tailed test, the value of the test statistic is 2. The test statistic follows a distribution
with the distribution curve shown below. If we know the shaded area is 0.96, then we have
sufficient evidence to reject the null hypothesis at 0.05 level of significance.
2. Choose the best answer. Justify for full credit.
(a) UMUC Stat Club conducted a survey on STAT 200 study hours. The survey result showed
that 54% of the respondents spent more than 20 hours each week on STAT 200. The value
54% is a
(i) statistic
(ii) parameter
(iii) cannot be determined
(b) The hotel ratings are usually on a scale from 0 star to 5 stars. The level of this measurement is
(i) interval
(ii) nominal
(iii) ordinal
(iv) ratio
(c) UMUC STAT Club wanted to estimate the study hours of STAT 200 students. Two STAT 200
sections were randomly selected and all students from these two sections were asked to fill out
the questionnaire. This type of sampling is called:
(i) cluster
(ii) convenience
(iii.
STAT 200 Introduction to Statistics Final Examination, Sp.docxwhitneyleman54422
STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 1 of 7
STAT 200
OL4/US2 Sections
Final Exam
Spring 2016
The final exam will be posted at 12:01 am on May 6, and it is due
at 11:59 pm on May 8, 2016. Eastern Time is our reference time.
This is an open-book exam. You may refer to your text and other course materials
as you work on the exam, and you may use a calculator. You must complete the
exam individually. Neither collaboration nor consultation with others is allowed.
It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use
unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible.
Show all of your work and reasoning. In particular, when there are calculations
involved, you must show how you come up with your answers with critical work
and/or necessary tables. Answers that come straight from calculators, programs
or software packages will not be accepted. If you need to use software (for
example, Excel) and /or online or hand-held calculators to aid in your calculation,
you must cite the sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 200 total points; 10 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL4 Page 2 of 7
1. True or False. Justify for full credit.
(a) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.2.
(b) If all the observations in a data set are identical, then the variance for this data set is 0.
(c) The mean is always equal to the median for a normal distribution.
(d) It’s easier to reject the null hypothesis at significance level of 0.01 than at significance
level of 0.05.
(e) In a two-tailed test, the value of the test statistic is 2. If we know the test statistic follows a
Student’s t-distribution with P(T >2) = 0.03, then we have sufficient evidence to reject the
null hypothesis at 0.05 level of significance.
2. Identify which of these types of sampling is used: cluster, convenience, simple random,
systematic, or stratified. Justify for full credit.
(a) The quality control department of a semiconductor manufacturing company tests every 100
th
product from the assembly line.
(b) UMUC STAT Club wanted to estimate the study hours of STAT 200 students. Two STAT 200
sections were randomly selected and all students from these two sections were asked to fill out
the questionnaire.
(c) A STAT 200 student is interested in the number of credit cards owned by college students. She
surveyed all of her classmates to collect sample data.
(d) In a career readiness research, 1.
STAT 200 Introduction to Statistics Final Examination, Fa.docxwhitneyleman54422
STAT 200: Introduction to Statistics Final Examination, Fall 2016 OL4 Page 1 of 8
STAT 200
OL4 / US2 Sections
Final Exam
Fall 2016
The final exam will be posted at 12:01 am on December 16, and it
is due at 11:59 pm on December 18, 2016. Eastern Time is our
reference time.
This is an open-book exam. You may refer to your text and other course materials
as you work on the exam, and you may use a calculator. You must complete the
exam individually. Neither collaboration nor consultation with others is allowed.
It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use
unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible.
Show all of your supporting work and reasoning. Answers that come straight
from calculators, programs or software packages without any explanation will not
be accepted. If you need to use technology (for example, Excel, online or hand-
held calculators, statistical packages) to aid in your calculation, you must cite the
sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 100 total points; 5 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
STAT 200: Introduction to Statistics Final Examination, Fall 2016 OL4 Page 2 of 8
1. True or False. Justify for full credit.
(a) A is an event, and Ac is the complement of A, then P(A AND Ac ) = 0.
(b) If the variance of a data set is 0, then all the observations in this data set must be zero.
(c) If a 95% confidence interval for a population mean contains 1, then the 90% confidence
interval for the same parameter must contain 1
(d) When plotted on the same graph, a distribution with a mean of 40 and a standard deviation
of 10 will look more spread out than a distribution with a mean of 50 and standard
deviation of 5.
(e) In a two-tailed test, the value of a test statistic is 2. The test statistic follows a distribution
with the distribution curve shown below. If we know the shaded area is 0.03, then we have
sufficient evidence to reject the null hypothesis at 0.05 level of significance.
2. Choose the best answer. Justify for full credit.
(a) A study was conducted at a local college to analyze the average GPA of students graduated
from UMUC in 2015. 100 students graduated from UMUC in 2015 were randomly selected,
and the average GPA for the group is 3.5. The value 3.5 is a
(i) statistic
(ii) parameter
(iii) cannot be determined
(b) The hotel ratings are usually on a scale from 0 star to 5 stars. The level of this measurement is
(i) interval
(ii) nominal
(iii) ordinal
(iv) ratio
(c) On the Election Day, UMUC News Club organized an exit poll .
Answer all 20 questions. Make sure your answers are as complet.docxfestockton
Answer all 20 questions. Make sure your answers are as complete as possible, particularly when it asks for you to show
your work. Answers that come straight from calculators, programs or software packages without any explanation will
not be accepted. If you need to use technology (for example, Excel, online or hand-held calculators, statistical packages)
to aid in your calculation, you must cite the sources and explain how you get the results. For example, state the Excel
function along with the required parameters when using Excel; describe the detailed steps when using a hand-held
calculator; or provide the URL and detailed steps when using an online calculator, and so on.
Record your answers and work on the separate answer sheet provided.
This exam has 20 problems; 5% for each problems.
STAT 200: Introduction to Statistics
Final Examination, Fall 2019 OL1
1. You wish to estimate the mean cholesterol levels of patients two days after they had a heart attack. To estimate the
mean, you collect data from 28 heart patients. Justify for full credit.
(a) Which of the followings is the sample?
(i) Mean cholesterol levels of 28 patients recovering from a heart attack suffered two days ago
(ii) Cholesterol level of the person recovering from heart attack suffered two days ago
(iii) Set of all patients recovering from a heart attack suffered two days ago
(iv) Set of 28 patients recovering from a heart attack suffered two days ago
(b) Which of the followings is the variable?
(i) Mean cholesterol levels of 28 patients recovering from a heart attack suffered two days ago
(ii) Cholesterol level of the person recovering from heart attack suffered two days ago
(iii) Set of all patients recovering from a heart attack suffered two days ago
(iv) Set of 28 patients recovering from a heart attack suffered two days ago
2. Choose the best answer. Justify for full credit.
(a) The Knot.com surveyed nearly 13,000 couples, who married in 2017, and asked how much they spent on their
wedding. The average amount of money spent on was $33,391. The value $33,391 is a:
(i) parameter
(ii) statistic
(iii) cannot be determined from information provided.
(b) A marketing agent asked people to rank the quality of a new soap on a scale from 1 (poor) to 5 (excellent). The level
of this measurement is
(i) nominal
(ii) ordinal
(iii) interval
(iv) ratio
3. True or False. Justify for full credit.
(a) If the variance from a data set is zero, then all the observations in this data set must be identical.
(b) The median of a normal distribution curve is always zero.
4. A STAT 200 student is interested in the number of credit cards owned by college students. She surveyed all of her
classmates to collect sample data.
(a) What type of sampling method is being used?
(b) Please explain your answer.
5. A study was conducted to determine whether the mean braking distance of four-cylinder cars is greater than th ...
This is an open-book exam. You may refer to your text and other .docxchristalgrieg
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use unauthorized materials or work from others.
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your supporting work and reasoning. Answers that come straight from calculators, programs or software packages without any explanation will not be accepted. If you need to use technology (for example, Excel, online or hand- held calculators, statistical packages) to aid in your calculation, you must cite the sources and explain how you get the results.
Record your answers and work on the separate answer sheet provided.
This exam has 100 total points; 5 points for each question.
You must include the Honor Pledge on the title page of your submitted final exam. Exams submitted without the Honor Pledge will not be accepted.
Page 1 of 8
1. True or False. Justify for full credit.
(a) A is an event, and Ac is the complement of A, then P(A OR Ac ) = 0.
(b) If the variance of a data set is 0, then all the observations in this data set must be identical.
(c) If a 95% confidence interval for a population mean contains 1, then the 99% confidence interval for the same parameter must contain 1
(d) When plotted on the same graph, a distribution with a mean of 60 and a standard deviation of 5 will look more spread out than a distribution with a mean of 40 and standard deviation of 8.
(e) In a right-tailed test, the value of the test statistic is 2. The test statistic follows a distribution with the distribution curve shown below. If we know the shaded area is 0.03, then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.
2. Choose the best answer. Justify for full credit.
(a) A study was conducted at a local college to analyze the average GPA of students graduated from UMUC in 2015. 100 students graduated from UMUC in 2015 were randomly selected, and the average GPA for the group is 3.5. The value 3.5 is a
(i) statistic
(ii) parameter
(iii) cannot be determined
(b) The hotel ratings are usually on a scale from 0 star to 5 stars. The level of this measurement is
(i) interval
(ii) nominal
(iii) ordinal
(iv) ratio
(c) In a career readiness research, 100 students were randomly selected from the psychology program, 150 students were randomly selected from the communications program, and 120 students were randomly selected from cyber security program. This type of sampling is called:
(i) cluster
(ii) convenience
(iii) systematic
(iv) stratified
3. Choose the best answer. Justify for full credit.
(a) A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. ...
1. True or False. Justify for full credit. .docxKiyokoSlagleis
1.
True or False.
Justify for full credit.
(15 pts)
(a) If the variance of a data set is zero, then all the observations in this data set are zero.
(b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9.
(c) Assume X follows a continuous distribution which is symmetric about 0. If , then .
(d) A 95% confidence interval is wider than a 90% confidence interval of the same parameter.
(e) In a right-tailed test, the value of the test statistic is 1.5. If we know the test statistic
follows a Student’s t
-distribution with P(T < 1.5) = 0.96, then we fail to reject the null hypothesis at 0.05 level of significance .
Refer to the following frequency distribution for Questions 2, 3, 4, and 5.
Show all work. Just the answer, without supporting work, will receive no credit.
The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon.
Checkout Time (in minutes)
Frequency
Relative Frequency
1.0 - 1.9
3
2.0 - 2.9
12
3.0 - 3.9
0.20
4.0 - 4.9
3
5.0 -5.9
Total
25
2.
Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places. (5 pts)
3.
What percentage of the checkout times was at least 3 minutes? (3 pts)
4.
In what class interval must the median lie? Explain your answer. (5 pts)
5.
Does this distribution have positive skew or negative skew? Why? (2 pts)
Refer to the following information for Questions 6 and 7.
Show all work. Just the answer, without supporting work, will receive no credit.
Consider selecting one card at a time from a 52-card deck. (Note: There are 4 aces in a deck of cards)
6.
If the card selection is without replacement, what is the probability that the first card is an ace and the second card is also an ace? (Express the answer in simplest fraction form) (5 pts)
STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 3 of 6
7.
If the card selection is with replacement, what is the probability that the first card is an ace and the second card is also an ace? (Express the answer in simplest fraction form) (5 pts)
Refer to the following situation for Questions 8, 9, and 10.
The five-number summary below shows the grade distribution of two STAT 200 quizzes for a sample of 500 students.
Minimum
Q1
Median
Q3
Maximum
Quiz 1
15
45
55
85
100
Quiz 2
20
35
50
90
100
For each question, give your answer as one of the following: (a) Quiz 1; (b) Quiz 2; (c) Both quizzes have the same value requested; (d) It is impossible to tell using only the given information. Then
explain
your answer in
each
case.
(4 pts each)
8.
Which quiz has less interquartile range in grade distribution?
9.
Which quiz has the greater percentage of students with grades 90 and over?
10.
Which quiz has a greater percentage of students with grades less than 60?
Refer to the following informati.
STAT 200 Introduction to Statistics Final Examination, Spri.docxrafaelaj1
STAT 200: Introduction to Statistics
Final Examination, Spring 2019 OL3
Page 1 of 8
STAT 200
OL3 Sections
Final Exam
Spring 2019
The final exam will be posted at 12:01 am on April 19, 2019, and
it is due at 11:59 pm on April 21, 2019 Eastern Time.
This is an open-book exam. You may refer to your text and other course materials
for the current course as you work on the exam, and you may use a calculator,
applets, or Excel. You must complete the exam individually. Neither collaboration
nor consultation with others is allowed. It is a violation of the UMUC Academic
Dishonesty and Plagiarism policy to use unauthorized materials or work from
others.
Answer all 20 questions. Make sure your answers are as complete as possible,
particularly when it asks for you to show your work. Answers that come straight
from calculators, programs or software packages without any explanation will not
be accepted. If you need to use technology (for example, Excel, online or hand-
held calculators, statistical packages) to aid in your calculation, you must cite the
sources and explain how you get the results. For example, state the Excel function
along with the required parameters when using Excel; describe the detailed steps
when using a hand-held calculator; or provide the URL and detailed steps when
using an online calculator, and so on.
Record your answers and work on the separate answer sheet provided.
This exam has 20 problems; 5% for each problems.
You must include the Honor Pledge on the title page of your submitted final exam.
Exams submitted without the Honor Pledge will not be accepted.
STAT 200: Introduction to Statistics
Final Examination, Spring 2019 OL3
Page 2 of 8
1. You wish to estimate the mean cholesterol levels of patients two days after they had a heart attack. To
estimate the mean, you collect data from 28 heart patients. Justify for full credit.
(a) Which of the followings is the sample?
(i) Mean cholesterol levels of 28 patients recovering from a heart attack suffered two
days ago
(ii) Cholesterol level of the person recovering from heart attack suffered two days ago
(iii) Set of all patients recovering from a heart attack suffered two days ago
(iv) Set of 28 patients recovering from a heart attack suffered two days ago
(b) Which of the followings is the variable?
(i) Mean cholesterol levels of 28 patients recovering from a heart attack suffered two
days ago
(ii) Cholesterol level of the person recovering from heart attack suffered two days ago
(iii) Set of all patients recovering from a heart attack suffered two days ago
(iv) Set of 28 patients recovering from a heart attack suffered two days ago
2. In order to collect data on the number of courses that your classmates take in this semester, you plan
on asking them: “How many UMUC courses are you taking in this semester? “Justify for full credit.
(a) Which type of d.
InstructionDue Date 6 pm on October 28 (Wed)Part IProbability a.docxdirkrplav
InstructionDue Date: 6 pm on October 28 (Wed)
Part IProbability and Sampling Distributions1.Thinking about probability statements. Probability is measure of how likely an event is to occur. Match one of probabilities that follow with each statement of likelihood given (The probability is usually a more exact measure of likelihood than is the verbal statement.)Answer0 0.01 0.3 0.6 0.99 1(a) This event is impossible. It can never occur.(b) This event is certain. It will occur on every trial.(c) This event is very unlikely, but it will occur once in a while in a long sequence of trials.(d) This event will occur more often that not.2. Spill or Spell? Spell-checking software catches "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "the." When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution:Value of X01234Probability0.10.20.30.30.1(a) Check that this distribution satisfies the two requirements for a legitimate assignment of probabilities to individual outcomes.(b) Write the event "at least one nonword error" in term of X (for example, P(X >3)). What is the probability of this event?(c) Describe the event X ≤ 2 in words. What is its probability? 3. Discrete or continuous? For each exercise listed below, decide whether the random variable described is discrete or continuous and explains the sample space.(a) Choose a student in your class at random. Ask how much time that student spent studying during the past 24 hours.(b) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 foot and count the number of broken eggs.(c) A nutrition researcher feeds a new diet to a young male white rat. The response variable is the weight (in grams) that the rat gains in 8 weeks.4. Tossing Coins(a) The distribution of the count X of heads in a single coin toss will be as follows. Find the mean number of heads and the variance for a single coin toss.Number of Heads (Xi)01mean:Probability (Pi)0.50.5variance:(b) The distribution of the count X of heads in four tosses of a balanced coin was as follows but some missing probabilities. Fill in the blanks and then find the mean number of heads and the variance for the distribution with assumption that the tosses are independent of each other.Number of Heads (Xi)01234mean:Probability (Pi)0.06250.0625variance:(c) Show that the two results of the means (i.e. single toss and four tosses) are related by the addition rule for means. (d) Show that the two results of the variances (i.e. single toss and four tosses) are related by the addition rule for variances (note: It was assumed that the tosses are independent of each other). 5. Generating a sampling distribution. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small .
1. True or False. Justify for full credit.(10 pts)(a) The .docxjackiewalcutt
1. True or False. Justify for full credit.
(10 pts)
(a) The normal distribution curve is always symmetric to its mean.
(b) If the variance from a data set is zero, then all the observations in this data set are identical.
(c)
P(A AND Ac )
1, where Ac is the complement of A.
(d) In a hypothesis testing, if the p-value is less than the significance level α, we do not have sufficient evidence to reject the null hypothesis.
(e) The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete data set.
Refer to the following frequency distribution for Questions 2, 3, 4, and 5. Show all work. Just the answer, without supporting work, will receive no credit.A random sample of 25 customers was chosen in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon. The frequency distribution below shows the distribution for checkout time (in minutes).
Checkout Time (in minutes)
Frequency
Relative Frequency
1.0 - 1.9
2
2.0 - 2.9
8
3.0 - 3.9
4.0 - 5.9
5
Total
25
2. Complete the frequency table with frequency and relative frequency.
(1 pt)
3. What percentage of the checkout times was less than 3 minutes?
(1pt)
4. In what class interval must the median lie? Explain your answer.
(1 pt)
5. Assume that the largest observation in this dataset is 5.8. Suppose this observation were incorrectly recorded as 8.5 instead of 5.8. Will the mean increase, decrease, or remain the same? Will the median increase, decrease or remain the same? Why?
(1 pt)
6. A random sample of STAT200 weekly study times in hours is as follows: 2 15 15 18 30
Find the sample standard deviation. (Round the answer to two decimal places. Show all work. Just the answer, without supporting work, will receive no credit.)
(1 pt)
Refer to the following information for Questions 7, 8, and 9. Show all work. Just the answer, without supporting work, will receive no credit.A fair coin is tossed 4 times.
7. How many outcomes are there in the sample space?
(5 pts)
8. What is the probability that the third toss is heads, given that the first toss is heads? (5 pts)
9. Let A be the event that the first toss is heads, and B be the event that the third toss is heads. Are A
and B independent? Why or why not?
(5 pts)
Refer to the following situation for Questions 10, 11, and 12.
The boxplots below show the real estate values of single family homes in two neighboring cities, in thousands of dollars.
For each question, give your answer as one of the following: (a) Tinytown; (b) BigBurg; (c) Both cities have the same value requested; (d) It is impossible to tell using only the given information. Then explain your answer in each case.
(5 pts each)
10. Which city has greater variability in real estate values?
11. Which city has the greater percentage of households with values $85,000 and over?
12. Which city has a greater percentage of homes with real estate values between $55,000 and $85,000?
Refer to the following information for Questions 13 and 14. Show all work. Just ...
Answer SheetInstructions This is an open-book exam. Yo.docxfestockton
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from calculators, programs or software packages without explanation will not be accepted. If you need to use technology to aid in your calculation, you have to cite the source and explain how you get the results. For example, state the Excel function along with the required parameters when using Excel; describe the detailed steps when using a hand-held calculator; or provide the URL and detailed steps when using an online calculator, and so on.
Show all supporting work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
Record your answers and work.
Problem Number
Solution
1
Answer:
(a)
(b)
Justification for (a) and (b):
2
Answer:
(a)
(b)
Justification for (a) and (b):
3
Answer:
(a)
(b)
Justification for (a) and (b):
4
Answer:
(a)
(b)
5
Answer:
(a)
(b)
6
Answer:
(a)
(b)
7
Answer:
(a)
(b)
(c)
Work for (a) and (b):
8
Answer:
(a)
(b)
9
Answer:
(a)
(b)
10
Answer:
(a)
(b)
11
Answer:
(a)
(b)
12
Answer:
(a) n = , p = , and q = .
(b)
(c)
13
Answer:
(a)
(b)
14
Answer:
(a)
(b)
15
Answer:
(a)
(b)
16
Answer:
(a)
(b)
17
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
18
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
19
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
20
Answers:
(a)
(b)
(c)
(d)
STAT 200: Introduction to Statistics
Final Examination, Fall 2019 OL1
1
STAT 200
OL1 Sections
Final Exam
Fall 2019
The final exam will be posted at 12:01 am on October 11, 2019, and
it is due at 11:59 pm on October 13, 2019 Eastern Time.
This is an open-book exam. You may refer to your text and other course materials
for the current course as you work on the exam, and you may use a calculator,
applets, or Excel. You must complete the exam individually. Neither collaboration
nor consultation with others is allowed. It is a violation of the UMUC Academic
Dishonesty and Plagiarism policy to use unauthorized ma ...
STAT 200 Final ExaminationFall 2019 OL1Page 1 of 11Answer .docxsusanschei
STAT 200 Final Examination
Fall 2019 OL1
Page 1 of 11
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from calculators, programs or software packages without explanation will not be accepted. If you need to use technology to aid in your calculation, you have to cite the source and explain how you get the results. For example, state the Excel function along with the required parameters when using Excel; describe the detailed steps when using a hand-held calculator; or provide the URL and detailed steps when using an online calculator, and so on.
Show all supporting work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
Record your answers and work.
Problem Number
Solution
1
Answer:
(a)
(b)
Justification for (a) and (b):
2
Answer:
(a)
(b)
Justification for (a) and (b):
3
Answer:
(a)
(b)
Justification for (a) and (b):
4
Answer:
(a)
(b)
5
Answer:
(a)
(b)
6
Answer:
(a)
(b)
7
Answer:
(a)
(b)
(c)
Work for (a) and (b):
8
Answer:
(a)
(b)
9
Answer:
(a)
(b)
10
Answer:
(a)
(b)
11
Answer:
(a)
(b)
12
Answer:
(a) n = , p = , and q = .
(b)
(c)
13
Answer:
(a)
(b)
14
Answer:
(a)
(b)
15
Answer:
(a)
(b)
16
Answer:
(a)
(b)
17
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
18
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
19
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
20
Answers:
(a)
(b)
(c)
(d)
STAT 200: Introduction to Statistics
Final Examination, Fall 2019 OL1
1
STAT 200
OL1 Sections
Final Exam
Fall 2019
The final exam will be posted at 12:01 am on October 11, 2019, and
it is due at 11:59 pm on October 13, 2019 Eastern Time.
This is an open-book exam. You may refer to your text and other course materials
for the current course as you work on the exam, and you may use a calculator,
applets, or Excel. You must complete the exam individually. Neither collaboration
nor consultation with others is allowed. It is a violation of the UMUC Academic
Dishonesty and Plagiarism policy to use unauthorized materials or work from
others.
Answer all 20 questions. Mak.
Stat 230 Summer 2014 – Final Exam Page 1 .docxdessiechisomjj4
Stat 230 Summer 2014 – Final Exam
Page 1
Please answer all 30 questions. Make sure your answers are as complete as
possible. Show all of your work and reasoning. In particular, when there are
calculations involved, you must show how you come up with your answers
with critical work and/or necessary tables. Answers that come straight from
program software packages will not be accepted.
You must include the Honor Pledge on the title page of your
submitted final exam. Exam submitted without the Honor
Pledge will not be accepted.
Honor Pledge: "I have completed this final examination myself, working independently
and not consulting anyone except the instructor. I have neither given nor received help on this
final examination."
Use the information below to answer Questions 1 through 3.
Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we
perform the following hypothesis test. Since n>30, this is a Z test.
Null Hypothesis 0 : 700H
Alternative Hypothesis : 700aH
1. What is the test statistic? What is the p-value?
2. At a 5% significance level (95% confidence level), what is the critical value(s) in this
test? Do we reject the null hypothesis?
3. What are the border values of x between acceptance and rejection of this hypothesis?
Stat 230 Summer 2014 – Final Exam
Page 2
Questions 4 through 7 involve rolling of dice.
4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a
“1” each time?
5. What is the probability of getting a “1” on the second roll when you get a “1” on the first
roll?
6. The House managed to load the die in such a way that the faces “2” and “4” show up
twice as frequently as all other faces. Meanwhile, all the other faces still show up with
equal frequency. What is the probability of getting a “5” when rolling this loaded die?
7. Write the probability distribution for this loaded die, showing each outcome and its
probability.
Use the data in the table to answer Questions 8 through 9.
x 3 1 4 4 5
y 2 -2 5 4 8
8. Determine SSxx, SSxy, and SSyy.
9. Find the equation of the regression line. What is the predicted value when 4?x
Stat 230 Summer 2014 – Final Exam
Page 3
Use the data below to answer Questions 10 through 12.
A group of students from three universities were asked to pick their favorite college sport
to attend of their choice: The results, in number of students, are listed as follows:
Football Basketball Soccer
Maryland 60 70 20
Duke 10 75 15
UCLA 35 65 25
Supposed that a student is randomly selected from the group mentioned above.
10. What is the probability that the student is from UCLA or chooses football?
11. What is the probability that the student is from Duke, given that the student chooses
basketball?
12. What is the probability that the .
Points: 250
Assignment 3:Biggest Challenges Facing Organizations in the Next 20 Years
Criteria
Unacceptable
Below 60% F
Meets Minimum Expectations
60-69% D
Fair
70-79% C
Proficient
80-89% B
Exemplary
90-100% A
1. Provide a title slide followed by a slide with an introduction to your presentation.
Weight: 5%
Did not submit or incompletely provided a title slide followed by a slide with an introduction to your presentation.
Insufficiently provided a title slide followed by a slide with an introduction to your presentation.
Partially provided a title slide followed by a slide with an introduction to your presentation.
Satisfactorily provided a title slide followed by a slide with an introduction to your presentation.
Thoroughly provided a title slide followed by a slide with an introduction to your presentation.
2. Presentation should include your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Only include one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides. Weight: 50%
Did not submit or incompletely included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Did not submit or incompletely included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Insufficiently included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Insufficiently included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Partially included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Partially included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Satisfactorily included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Satisfactorily included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Thoroughly included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Satisfactorily included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
3. Provide one (1) summary slide which addresses key points of your paper.
Weight: 5%
Did not submit or incompletely provided one (1) summary slide which addresses key points of your paper.
Insufficiently provided one (1) summary slide which addresses key points of your paper.
Partially provided one (1) summary slide which addresses key points of your paper.
Satisfactorily provided one (1) summary slide which addresses key points of your paper.
Thoroughly provided one (1) summary slide which addresses key points of your paper.
4. Narrate each slide,.
Part 1 Please circle the correct answer.1. Which of t.docxherbertwilson5999
Part 1: Please circle the correct answer.
1. Which of the following is most sensitive to outliers?
a. interquartile range b.standard deviation. c. median
d. mode
2. James and George took a math exam. George’s percentile score on the exam was 80; James’s
percentile score was 40 on the same test. We know that
a) George correctly answered twice as many questions than James. b) They both scored better than 40 of their classmates.
c) George correctly answered more questions than James. d) James did not pass the test.
3. Find the mean and standard deviation for a binomial experiment where n 260,
p 0.675 .
a) 260 , b) 260 ,
7.55
57.04
c) 175.50 ,
7.55
d) 97.50 ,
e) 175.50 ,
13.25
9.19
4. If we were to create a box plot, which of the following statement(s) would be true?
A. The median would be located somewhere within the box.
B. The median value would be larger than the third quartile value (Q3) C. The median would always be centered in the middle of the box.
D. The median would indicate where the 50th percentile would be.
a) A and B
b) All of them. c) A and D
d) C and D.
e) None of them.
5. Which of these statements are false?
a. There is a strong linear relationship between gender and height because we found a correlation of .55.
b. Plant height and leaf height were found to be negatively correlated because the correlation coefficient is -1.41.
c. Since the correlation between X and Y is 0, this means there is no relationship whatsoever between these two variables.
d. All of the above.
e. None of the above.
6. Some methods may be used to make a confidence interval wider or narrower. Circle the two
methods that would decrease the width of a confidence interval for a mean, if all else stays the same.
a. Increase the sample size. b. decrease the sample size.
c. increase the level of confidence. d. decrease the level of confidence.
7. Two researchers are going to take a sample of data from the same population of physics students. Researcher A will select a random sample of students from among all students taking physics. Researcher B's sample will consist only of the students in her class. Both researchers will construct a 95% confidence interval for the mean score on the physics final exam using their own sample data. Which researcher's method has a 95% chance of capturing the true mean of the population of all students taking physics?
a. Both methods have a 95% chance of capturing the true mean b. Researcher A
c. Research B
d. Neither
8. A 98% confidence interval indicates that:
a. 98% of the intervals constructed using this process based on samples from this population will include the population mean
b. 98% of the time the interval will include the sample mean
c. 98% of the possible population means will be included by the interval
9. A one-tailed hypothesis test is performed using a 0.10 level of significance. .
STAT 200 Final ExaminationFall 2016 OL1US1Page 9 of 9STAT 200.docxwhitneyleman54422
STAT 200 Final ExaminationFall 2016 OL1/US1Page 9 of 9
STAT 200 Introduction to Statistics Name______________________________
Final Examination: Fall 2016 OL1/US1 Instructor __________________________
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.
Record your answers and work in this document.
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from calculators, programs or software packages without explanation will not be accepted. If you need to use technology to aid in your calculation, you have to cite the source and explain how you get the results. For example, state the Excel function along with the required parameters when using Excel; describe the detailed steps when using a hand-held calculator; or provide the URL and detailed steps when using an online calculator, and so on.
Show all supporting work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed. It is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use unauthorized materials or work from others. Your exam will receive a zero grade unless you complete the following honor statement.
Please sign (or type) your name below the following honor statement:
I understand that it is a violation of the UMUC Academic Dishonesty and Plagiarism policy to use unauthorized materials or work from others. I promise that I did not discuss any aspect of this exam with anyone other than my instructor. I further promise that I neither gave nor received any unauthorized assistance on this exam, and that the work presented herein is entirely my own.
Name _____________________Date___________________
Record your answers and work.
Problem Number
Solution
1
Answer:
(a)
(b)
(c)
(d)
(e)
Justification:
2
Answer:
(a)
(b)
(c)
Justification:
3
Answer:
(a)
(b)
Justification:
4
Answer:
(a)
IQ Scores
Frequency
Relative Frequency
50 - 69
23
70 - 89
249
90 -109
0.450
110 - 129
130 - 149
25
Total
1000
(b)
(c)
Work for (a) and (b):
5
Answer:
(a)
(b)
(c)
Justification:
6
Answer:
(a)
(b)
Work for (a) and (b):
7
Answer:
(a)
(b)
Work for (b):
8
Answer:
(.
Question 1 In your own words, write a minimum of three sen.docxIRESH3
Question 1
In your own words, write a minimum of three sentences describing the Ashcan school.
Question 2
The new modern artists, such as the Ashcan artist, rejected which American era:
A.
The Age of Enlightenment
B.
The Neoclassical Age
C.
The Gilded Age
D.
The Impressionist Age
Question 3
Robert Henri was a progressive artist. He studied at the Ecole de Beaux Arts in Paris, was influenced by the Impressionists, and even helped organize the Armory Show. However, he was opposed to American artists creating art that too closely followed European styles. What were his opinions when contemplating the idea of a National American Art?
Question 4
Read the text on Marsden Hartley on page 66 of our text. Review his image Portrait of a German Officer and give a two paragraph reaction essay.
Question 5
According to our text, Blank 1 was the first (short lived) non-objective, non-representational modern American art movement.
Question 6
Alfred Stieglitz ran an American gallery from 1908-1917 called Blank 1 . He dedicated this exhibition space to showing avant-garde artists such as John Marin and Arthur Dove.
Question 7
Write a formal analysis of the painting by George Bellows entitled Both Members of this Club, 1909. Start by listing the title, artist, and date of the artwork. Next, imagine that you are writing a letter to a friend who has never seen the painting. Describe the painting in detail. Be sure to analyze the lines, colors, textures, space, and shapes you see in the painting. Finally, write an interpretation of the painting--in other words, explain what the painting says or communicates to you. What function, purpose or idea does the painting represent? You can see an example of this method of analysis at Goya Analysis at http://www.artmuseums.com/goya.htm.
Art analysis question should be no less than 2 or 3 well developed paragraphs.
Question 8
Who was not in the Stieglitz circle of artists?
A.
Arthur Dove
B.
Marsden Hartley
C.
Joseph Stella
D.
Georgia O’Keeffe
Question 9
What was “Fountain” by Marcel Duchamp (R. Mutt)?
Question 10
The artist Blank 1 made paintings that were rejected from the National Academy exhibition. He went on to teach artists to paint with intensity and emotion, and capture the ‘spirit’ of the people and cities of their urban world?
Question 11
According to our text, what was the key difference between Henri and Stieglitz?
Question 12
Which group held an exhibit at the Macbeth Gallery that set America on a course of Modern Art?
STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 1 of 6
STAT 200
OL1/US1 Sections
Final Exam
Fall 2015
The final exam will be posted at 12:01 am on October 9, and it
is due at 11:59 pm on October 11, 2015. Eastern Time is our
reference time.
This is an open-book exam. You may refer to your text and other course
materials as you work on the exam, and you may use a calculator. You ...
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Elementary Statistics Practice Test 3
Practice Test Chapter 6 (Normal Probability Distributions)
Chapter 6: Normal Probability Distributions
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STAT 200 Final Exam (FALL 2016)
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1. True or False. Justify for full credit.
(a) A is an event, and Ac is the complement of A, then P(A AND Ac) = 0.
(b) If the variance of a data set is 0, then all the observations in this data set must be zero.
(c) If a 95% confidence interval for a population mean contains 1, then the 99% confidence
interval for the same parameter must contain 1
(d) When plotted on the same graph, a distribution with a mean of 60 and a standard
deviation
of 5 will look more spread out than a distribution with a mean of 40 and standard deviation
of 8.
(e) In a two-tailed test, the value of a test statistic is 2. The test statistic follows a distribution
with the distribution curve shown below. If we know the shaded area is 0.03, then we have
sufficient evidence to reject the null hypothesis at 0.05 level of significance.
2. Choose the best answer. Justify for full credit.
(a) A study was conducted at a local college to analyze the average GPA of students
graduated
from UMUC in 2015. 100 students graduated from UMUC in 2015 were randomly selected,
2. and the average GPA for the group is 3.5. The value 3.5 is a
(i) statistic
(ii) parameter
(iii) cannot be determined
(b) The hotel ratings are usually on a scale from 0 star to 5 stars. The level of this
measurement is
(i) interval
(ii) nominal
(iii) ordinal
(iv) ratio
(c) A STAT 200 student is interested in the number of credit cards owned by college
students. She surveyed all of her classmates to collect sample data. This type of sampling is
called:
(i) simple random
(ii) convenience
(iii) systematic
(iv) stratified
3. Choose the best answer. Justify for full credit.
3. (a) A study of 10 different weight loss programs involved 500 subjects. Each of the 10
programs
had 50 subjects in it. The subjects were followed for 12 months. Weight change for each
subject was recorded. You want to test the claim that the mean weight loss is the same for
the
10 programs. What statistical approach should be used?
(i) t-test
(ii) linear regression
(iii) ANOVA
(iv) confidence interval
(b) A STAT 200 instructor teaches two classes. She wants to test if the variances of the
score
distribution for the two classes are different. What type of hypothesis test should she use?
(i) t-test for two independent samples
(ii) t-test for matched samples
(iii) z-test for two samples
(iv) F- test
4. The frequency distribution below shows the distribution for IQ scores for a random sample
of
4. 1000 adults. (Show all work.)
IQ Scores Frequency Relative Frequency
50 - 69 23
70 - 89 0.250
90 -109 448
110 - 129
130 - 149 25
Total 1000
(a) Complete the frequency table with frequency and relative frequency. Express the relative
frequency to three decimal places.
(b) What percentage of the adults in this sample has an IQ score of at least 90?
(c) Does this distribution have positive skew or negative skew? Why or why not?
6. Consider selecting one card at a time from a 52-card deck. What is the probability that the
first card is from the suit of hearts and the second card is also from the suit of hearts? (Note:
There are 13 cards from the suit of hearts in a deck of cards) (Show all work.)
(a) Assuming the card selection is without replacement.
(b) Assuming the card selection is with replacement.
7. There are 1000 students in a high school. Among the 1000 students, 250 students take
AP
5. Statistics, and 100 students take AP French. 80 students take both AP courses. Let S be the
event that a randomly selected student takes AP Statistics, and F be the event that a
randomly
selected student takes AP French. Show all work.
(a) Provide a written description of the complement event of (S OR F).
(b) What is the probability of complement event of (S OR F)?
8. Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is
at
least 10, and B be the event that the first one is a multiple of 3.
(a) What is the probability that the sum of the two rolls is at least 10 given that the first one is
a
multiple of 3? Show all work. Just the answer, without supporting work, will receive no credit.
(b) Are event A and event B independent? Explain.
9. There are 5 books in the “Statistics is Fun” series. (Show all work.
(a) How many different ways can Mimi arrange the 5 books in her book shelf?
(b) Mimi plans on bringing two of the five books with her in a road trip. How many different
ways
can the two books be selected?
10. Assume random variable x follows a probability distribution shown in the table below.
6. Determine the mean and standard deviation of x. Show all work.
x -2 -1 0 1 2
P(x) 0.1 0.1 0.3 0.2 0.3
11. Mimi joined UMUC basketball team since summer 2016. On average, she is able to
score 30% of the field goals. Assume she tries 15 field goals in a game.
(a) Let X be the number of field goals that Mimi scores in the game. As we know, the
distribution
of X is a binomial probability distribution. What is the number of trials (n), probability of
successes (p) and probability of failures (q), respectively?
(b) Find the probability that Mimi scores at least 2 of the 15 field goals. (round the answer to
3
decimal places) Show all work.
12. A research concludes that the number of hours of exercise per week for adults is
normally
distributed with a mean of 3.5 hours and a standard deviation of 3 hours. Show all work.
(a) Find the 80th percentile for the distribution of exercise time per week. (round the answer
to 2 decimal places)
(b) What is the probability that a randomly selected adult has more than 7 hours of exercise
per week?
(round the answer to 4 decimal places)
7. 13. Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean
of 500 and a standard deviation of 100. Show all work.
(a) Consider all random samples of 64 test scores. What is the standard deviation of the
sample
means?
(b) What is the probability that 64 randomly selected test scores will have a mean test score
that is between 475 and 525?
14. An insurance company checks police records on 1200 randomly selected auto accidents
and notes that teenagers were at the wheel in 180 of them. Construct a 90% confidence
interval
estimate of the proportion of auto accidents that involve teenage drivers. Show all work.
15. A city built a new parking garage in a business district. For a random sample of 64 days,
daily fees collected averaged $2,000, with a standard deviation of $400. Construct a 95%
confidence interval estimate of the mean daily income this parking garage generates. Show
all work.
16. ABC Company claims that the proportion of its employees investing in individual
investment
accounts is higher than national proportion of 45%. A survey of 100 employees in ABC
Company indicated that 50 of them have invested in an individual investment account.
Assume Mimi wants to use a 0.10 significance level to test the claim.
(a) Identify the null hypothesis and the alternative hypothesis.
8. (b) Determine the test statistic. Show all work
(c) Determine the P-value for this test. Show all work
(d) Is there sufficient evidence to support ABC Company’s claim that the proportion of its
employees investing in individual investment accounts is higher than 45%? Explain.
17. Mimi was curious if regular excise really helps weight loss, hence she decided to perform
a
hypothesis test. A random sample of 5 UMUC students was chosen. The students took a 30-
minute exercise every day for 6 months. The weight was recorded for each individual before
and after the exercise regimen. Does the data below suggest that regular exercise helps
weight
loss?
Weight (pounds)
Subject Before After
1 160 130
2 170 160
3 185 175
4 165 165
5 200 190
9. Assume we want to use a 0.05 significance level to test the claim.
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work
(c) Determine the p-value. Show all work
(d) Is there sufficient evident to support the claim that regular exercise helps weight loss?
Justify your conclusion.
18. In a pulse rate research, a simple random sample of 50 men results in a mean of 80
beats per minute, and a standard deviation of 11.5 beats per minute. Based on the sample
results, the
researcher concludes that the pulse rates of men have a standard deviation greater than 10
beats per minutes. Use a 0.10 significance level to test the researcher’s claim.
(a) Identify the null hypothesis and alternative hypothesis.
(b) Determine the test statistic. Show all work
(c) Determine the P-value for this test. Show all work(d) Is there sufficient evidence to
support the researcher’s claim? Explain.
19. The UMUC MiniMart sells five different types of Halloween candy bags. The manager
reports
that the five types are equally popular. Suppose that a sample of 500 purchases yields
observed
10. counts 120, 85, 110, 90, and 95 for types 1, 2, 3, 4, and 5, respectively. Use a 0.05
significance
level to test the claim that the five types are equally popular. Show all work and justify your
answer.
Type 1 2 3 4 5
Number of Bags 120 85 110 90 95
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work
(c) Determine the P-value. Show all work
Is there sufficient evidence to support the manager’s claim that the five types of candy
bags are equally popular? Justify your answer.
20. A STAT 200 instructor believes that the average quiz score is a good predictor of final
exam
score. A random sample of 10 students produced the following data where x is the average
quiz
score and y is the final exam score.
11. x 80 50 60 100 70 85 40 65 75 90
y 72 75 65 90 60 85 50 60 75 95
(a) Find an equation of the least squares regression line. Show all work.
(b) Based on the equation from part (a), what is the predicted final exam score if the average
quiz score is 82? Show all work and justify your answer.