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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 must
complete the exam individually. Neither collaboration nor
consultation with
others is allowed.
Answer all 25 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
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, please 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.
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
2015 OL1/US1 Page 2 of 6
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 information for Questions 11, 12, and 13.
Show all work. Just the answer,
without supporting work, will receive no credit.
There are 1000 students in a high school. Among the 1000
students, 800 students have a
laptop, and 300 students have a tablet. 150 students have both
devices.
11. What is the probability that a randomly selected student has
neither device? (10 pts)
12. What is the probability that a randomly selected student has
a laptop, given that he/she
has a tablet? (5 pts)
13. Let event A be the selected student having a laptop, and
event B be the selected student
having a tablet. Are A and B independent events? Why or why
not? (5 pts)
14. A combination lock uses three distinctive numbers between
0 and 49 inclusive. How many
different ways can a sequence of three numbers be selected?
(Show work) (5 pts)
15. Let random variable x represent the number of heads when a
fair coin is tossed three
times. Show all work. Just the answer, without supporting
work, will receive no credit.
(a) Construct a table describing the probability distribution.
(5 pts)
(b) Determine the mean and standard deviation of x. (Round the
answer to two decimal places)
(10 pts)
STAT 200: Introduction to Statistics Final Examination, Fall
2015 OL1/US1 Page 4 of 6
16. Mimi just started her tennis class three weeks ago. On
average, she is able to return 20% of her
opponent’s serves. Assume her opponent serves 10 times.
(a) Let X be the number of returns that Mimi gets. 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? (5 pts)
(b) Find the probability that that she returns at least 1 of the 10
serves from her opponent.
(Show work) (10 pts)
Refer to the following information for Questions 17, 18, and 19.
Show all work. Just the answer,
without supporting work, will receive no credit.
The lengths of mature jalapeño fruits are normally distributed
with a mean of 3 inches and a
standard deviation of 1 inch.
17. What is the probability that a randomly selected mature
jalapeño fruit is between 1.5 and 4 inches
long? (5 pts)
18. Find the 90
th
percentile of the jalapeño fruit length distribution. (5 pts)
19. If a random sample of 100 mature jalapeño fruits is selected,
what is the standard deviation of the
sample mean? (5 pts)
20. A random sample of 100 light bulbs has a mean lifetime of
3000 hours. Assume that the
population standard deviation of the lifetime is 500 hours.
Construct a 95% confidence interval
estimate of the mean lifetime. Show all work. Just the answer,
without supporting work, will
receive no credit. (8 pts)
21. Consider the hypothesis test given by
5.0:
5.0:
1
0
pH
pH
In a random sample of 100 subjects, the sample proportion is
(a) Determine the test statistic. Show all work; writing the
correct test statistic, without
supporting work, will receive no credit.
(b) Determine the P-value for this test. Show all work; writing
the correct P-value,
without supporting work, will receive no credit.
(c) Is there sufficient evidence to justify the rejection of
0
Explain. (15 pts)
STAT 200: Introduction to Statistics Final Examination, Fall
2015 OL1/US1 Page 5 of 6
22. Consumption of large amounts of alcohol is known to
increase reaction time. To
investigate the effects of small amounts of alcohol, reaction
time was recorded for five
individuals before and after the consumption of 2 ounces of
alcohol. Do the data below
suggest that consumption of 2 ounces of alcohol increases mean
reaction time?
Reaction Time (seconds)
Subject Before After
1 6 7
2 8 8
3 4 6
4 7 8
5 9 8
Assume we want to use a 0.01 significance level to test the
claim.
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the
correct test statistic, without
supporting work, will receive no credit.
(c) Determine the P-value. Show all work; writing the correct P-
value, without
supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that
consumption of 2 ounces of
alcohol increases mean reaction time? Justify your conclusion.
(15 pts)
23. The UMUC MiniMart sells four different types of
Halloween candy bags. The manager
reports that the four types are equally popular. Suppose that a
sample of 500 purchases
yields observed counts 150, 110, 130, and 110 for types 1, 2, 3,
and 4, respectively.
Type 1 2 3 4
Number of Bags 150 110 130 110
Assume we want to use a 0.10 significance level to test the
claim that the four types are
equally popular.
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the
correct test statistic, without
supporting work, will receive no credit.
(c) Determine the P-value for the test. Show all work; writing
the correct P-value,
without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the manager’s claim
that the four types are
equally popular? Justify your answer.
(15 pts)
STAT 200: Introduction to Statistics Final Examination, Fall
2015 OL1/US1 Page 6 of 6
24. A random sample of 4 professional athletes produced the
following data where x is the
number of endorsements the player has and y is the amount of
money made (in millions of
dollars).
x 0 1 3 5
y 1 2 3 8
(a) Find an equation of the least squares regression line. Show
all work; writing the correct
equation, without supporting work, will receive no credit. (10
pts)
(b) Based on the equation from part (a), what is the predicted
value of y if x = 4? Show all
work and justify your answer. (5 pts)
25. A STAT 200 instructor is interested in whether there is any
variation in the final exam grades
between her two classes Data collected from the two classes
are as follows:
Her null hypothesis and alternative hypothesis are:
(a) Determine the test statistic. Show all work; writing the
correct test statistic, without
supporting work, will receive no credit.
(b) Determine the P-value for this test. Show all work; writing
the correct P-value, without
supporting work, will receive no credit.
(c) Is there sufficient evidence to justify the rejection of
0
H at the significance level of 0.05?
Explain.
(10 pts)
STAT 200 Final Examination Fall 2015 OL1/US1 Page 1 of 10
STAT 200 Introduction to Statistics
Name______________________________
Final Examination: Fall 2015 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 25 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 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, please cite the source and explain how you
get the results.
When requested, show all 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. 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 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___________________
STAT 200 Final Examination Fall 2015 OL1/US1 Page 2 of 10
Record your answers and work.
Problem
Number
Solution
1
(15 pts)
Answers:
(a)
(b)
(c)
(d)
(e)
Work for (a), (b), (c), (d) and (e):
2
(5 pts)
Answer:
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
STAT 200 Final Examination Fall 2015 OL1/US1 Page 3 of 10
Work:
3
(3 pts)
Answer:
Work:
4
(5 pts)
Answer:
Work:
5
(2 pts)
Answer:
Work:
6
(5 pts)
Answer:
Work:
STAT 200 Final Examination Fall 2015 OL1/US1 Page 4 of 10
7
(5 pts)
Answer:
Work:
8
(4 pts)
Answer:
Work:
9
(4 pts)
Answer:
Work:
10
(4 pts)
Answer:
Work:
STAT 200 Final Examination Fall 2015 OL1/US1 Page 5 of 10
11
(10 pts)
Answer:
Work:
12
(5 pts)
Answer:
Work:
13
(5 pts)
Answer:
Work:
14
(5 pts)
Answer:
Work:
STAT 200 Final Examination Fall 2015 OL1/US1 Page 6 of 10
15
(15 pts)
Answer:
(a) (5 pts)
x P(x)
0
1
2
3
(b) (10 pts) mean (μ) = __________ , and standard deviation (σ)
= _____________
Work for (a) and (b):
16
(15 pts)
Answer:
(a) (5 pts)
(b) (10 pts)
Work for (a) and (b) :
STAT 200 Final Examination Fall 2015 OL1/US1 Page 7 of 10
17
(5 pts)
Answer:
Work:
18
(5 pts)
Answer:
Work:
19
(5 pts)
Answer:
Work:
20
(8 pts)
Answer:
Work:
STAT 200 Final Examination Fall 2015 OL1/US1 Page 8 of 10
21
(15 pts)
Answer:
(a)
(b)
(c)
Work for (a) and (b):
22
(15 pts)
Answer:
(a)
(b)
(c)
(d)
Work for (b) and (c):
STAT 200 Final Examination Fall 2015 OL1/US1 Page 9 of 10
23
(15 pts)
Answer:
(a)
(b)
(c)
(d)
Work for (b) and (c):
24
(15 pts)
Answer:
(a) (10 pts)
(b) (5 pts)
Work for (a) and (b):
STAT 200 Final Examination Fall 2015 OL1/US1 Page 10 of 10
25
(10 pts)
Answers:
(a)
(b)
(c)
Work for (a) and (b):
Question 1 In your own words, write a minimum of three sen.docx

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  • 1. 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?
  • 2. 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
  • 3. 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
  • 4. 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 must complete the exam individually. Neither collaboration nor consultation with others is allowed. Answer all 25 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
  • 5. your answers with critical work and/or necessary tables. Answers that come straight from 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, please 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. 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 2015 OL1/US1 Page 2 of 6
  • 6. 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
  • 7. 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
  • 8. 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
  • 9. 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. 10. Which quiz has a greater percentage of students with grades less than 60? Refer to the following information for Questions 11, 12, and 13. Show all work. Just the answer, without supporting work, will receive no credit. There are 1000 students in a high school. Among the 1000 students, 800 students have a laptop, and 300 students have a tablet. 150 students have both devices. 11. What is the probability that a randomly selected student has neither device? (10 pts) 12. What is the probability that a randomly selected student has a laptop, given that he/she has a tablet? (5 pts) 13. Let event A be the selected student having a laptop, and event B be the selected student having a tablet. Are A and B independent events? Why or why not? (5 pts) 14. A combination lock uses three distinctive numbers between 0 and 49 inclusive. How many
  • 11. different ways can a sequence of three numbers be selected? (Show work) (5 pts) 15. Let random variable x represent the number of heads when a fair coin is tossed three times. Show all work. Just the answer, without supporting work, will receive no credit. (a) Construct a table describing the probability distribution. (5 pts) (b) Determine the mean and standard deviation of x. (Round the answer to two decimal places) (10 pts) STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 4 of 6 16. Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent’s serves. Assume her opponent serves 10 times. (a) Let X be the number of returns that Mimi gets. As we know, the distribution of X is a binomial
  • 12. probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? (5 pts) (b) Find the probability that that she returns at least 1 of the 10 serves from her opponent. (Show work) (10 pts) Refer to the following information for Questions 17, 18, and 19. Show all work. Just the answer, without supporting work, will receive no credit. The lengths of mature jalapeño fruits are normally distributed with a mean of 3 inches and a standard deviation of 1 inch. 17. What is the probability that a randomly selected mature jalapeño fruit is between 1.5 and 4 inches long? (5 pts) 18. Find the 90 th percentile of the jalapeño fruit length distribution. (5 pts) 19. If a random sample of 100 mature jalapeño fruits is selected, what is the standard deviation of the
  • 13. sample mean? (5 pts) 20. A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime. Show all work. Just the answer, without supporting work, will receive no credit. (8 pts) 21. Consider the hypothesis test given by 5.0: 5.0: 1 0 pH pH
  • 14. In a random sample of 100 subjects, the sample proportion is (a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. (c) Is there sufficient evidence to justify the rejection of 0 Explain. (15 pts) STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 5 of 6 22. Consumption of large amounts of alcohol is known to increase reaction time. To investigate the effects of small amounts of alcohol, reaction time was recorded for five
  • 15. individuals before and after the consumption of 2 ounces of alcohol. Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time? Reaction Time (seconds) Subject Before After 1 6 7 2 8 8 3 4 6 4 7 8 5 9 8 Assume we want to use a 0.01 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis. (b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c) Determine the P-value. Show all work; writing the correct P- value, without
  • 16. supporting work, will receive no credit. (d) Is there sufficient evidence to support the claim that consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion. (15 pts) 23. The UMUC MiniMart sells four different types of Halloween candy bags. The manager reports that the four types are equally popular. Suppose that a sample of 500 purchases yields observed counts 150, 110, 130, and 110 for types 1, 2, 3, and 4, respectively. Type 1 2 3 4 Number of Bags 150 110 130 110 Assume we want to use a 0.10 significance level to test the claim that the four types are equally popular. (a) Identify the null hypothesis and the alternative hypothesis.
  • 17. (b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c) Determine the P-value for the test. Show all work; writing the correct P-value, without supporting work, will receive no credit. (d) Is there sufficient evidence to support the manager’s claim that the four types are equally popular? Justify your answer. (15 pts) STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 6 of 6 24. A random sample of 4 professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). x 0 1 3 5
  • 18. y 1 2 3 8 (a) Find an equation of the least squares regression line. Show all work; writing the correct equation, without supporting work, will receive no credit. (10 pts) (b) Based on the equation from part (a), what is the predicted value of y if x = 4? Show all work and justify your answer. (5 pts) 25. A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classes Data collected from the two classes are as follows: Her null hypothesis and alternative hypothesis are: (a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
  • 19. (b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. (c) Is there sufficient evidence to justify the rejection of 0 H at the significance level of 0.05? Explain. (10 pts) STAT 200 Final Examination Fall 2015 OL1/US1 Page 1 of 10 STAT 200 Introduction to Statistics Name______________________________ Final Examination: Fall 2015 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
  • 20. on the exam, and you may use a calculator. Record your answers and work in this document. Answer all 25 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 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, please cite the source and explain how you get the results. When requested, show all 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.
  • 21. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. 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 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___________________ STAT 200 Final Examination Fall 2015 OL1/US1 Page 2 of 10 Record your answers and work. Problem Number
  • 23. (e) Work for (a), (b), (c), (d) and (e): 2 (5 pts) Answer: Checkout Time (in minutes) Frequency Relative Frequency
  • 24. 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 STAT 200 Final Examination Fall 2015 OL1/US1 Page 3 of 10
  • 27. STAT 200 Final Examination Fall 2015 OL1/US1 Page 4 of 10 7 (5 pts) Answer: Work:
  • 29. Answer: Work: STAT 200 Final Examination Fall 2015 OL1/US1 Page 5 of 10 11 (10 pts) Answer: Work:
  • 31. Work: 14 (5 pts) Answer: Work: STAT 200 Final Examination Fall 2015 OL1/US1 Page 6 of 10
  • 32. 15 (15 pts) Answer: (a) (5 pts) x P(x) 0 1 2 3 (b) (10 pts) mean (μ) = __________ , and standard deviation (σ) = _____________
  • 33. Work for (a) and (b): 16 (15 pts) Answer: (a) (5 pts)
  • 34. (b) (10 pts) Work for (a) and (b) : STAT 200 Final Examination Fall 2015 OL1/US1 Page 7 of 10
  • 37. STAT 200 Final Examination Fall 2015 OL1/US1 Page 8 of 10 21 (15 pts) Answer: (a) (b) (c) Work for (a) and (b):
  • 40. STAT 200 Final Examination Fall 2015 OL1/US1 Page 9 of 10 23 (15 pts) Answer: (a) (b) (c) (d) Work for (b) and (c):
  • 41. 24 (15 pts) Answer: (a) (10 pts) (b) (5 pts)
  • 42. Work for (a) and (b): STAT 200 Final Examination Fall 2015 OL1/US1 Page 10 of 10