STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10Stat 200 .docx

STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10
Stat 200 Introduction to Statistics
Name______________________________
Final Examination: Spring 2015 OL2 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___________________
Record your answers and work.
Problem Number
Solution
1
(25 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
6
2.0 - 2.9
8

3.0 - 3.9
4.0 - 5.9
5
Total
25
Work:
3
(5 pts)
Answer:
Work:
4
(5 pts)
Answer:
Work:

5
(5 pts)
Answer:
Work:
6
(5 pts)
Answer:
Work:
7
(10 pts)
Answer:
Work:

8
(5 pts)
Answer:
Work:
9
(5 pts)
Answer:
Work:
10
(5 pts)
Answer:
Work:

11
(5 pts)
Answer:
Work:
12
(10 pts)
Answer:
Work:

13
(10 pts)
Answer:
Work:
14
(5 pts)
Answer:
Work:
15
(15 pts)
Answer:
(a)

(b)
Work for (a) and (b):
16
(20 pts)
Answer:
(a)
(b)
(c)
Work for (a), (b) and (c) :

17
(10 pts)
Answer:
Work:
18
(5 pts)
Answer:
Work:

19
(5 pts)
Answer:
Work:
20
(10 pts)
Answer:
Work:

21
(15 pts)
Answer:
(a)
(b)
(c)
Work for (a), (b) and (c):
22
(20 pts)

Answer:
(a)
(b)
(c)
(d)
Work for (b) and (c):

23
(10 pts)
Answer:
(a)
(b)
(c)
Work for (a), (b) and (c):
24
(20 pts)
Answer:

(a)
(b)
Work for (a) and (b):
25
(15 pts)

Answers:
(a)
(b)
(c)
(d)
Work for (b) and (c):

Recognizing Arguments
In this assignment, you will apply key concepts covered in the
module readings. You will identify the component parts of
arguments and differentiate between various types of arguments
such as inductive and deductive. You will then construct
specific, original arguments.
There are two parts to the assignment. Complete both parts.
Part 1
1a: Identify Components of Arguments
Identify the component parts of the argument, premises and

conclusion, for the following passages. Where applicable,
highlight key words or phrases that identify a claim as a
premise or a conclusion.
Refer to the following example:
“All men are mortal. Socrates is a man. Therefore, Socrates is
mortal.”
All men are mortal.
Premise
Socrates is a man.
Premise
Therefore, Socrates is mortal.
Conclusion

“Therefore” is a key word indicating the claim is the
conclusion.
1. Sue is pregnant and will give birth to one child. We know
already this child has no genetic anomalies. If Sue’s baby is a
boy, he will be named Mark. If Sue’s baby is a girl, she will be
named Margaret. Sue will have either a boy or a girl. So we
know Sue’s baby will be named Mark or Margaret.
2. If the library has TheLord of the Rings,you won’t find it on
the first floor. This is because all fantasy novels are fiction and
all works of fiction are housed on the second floor of the
library. Of course, I am assuming that all the books are properly
shelved at this time.
3.
“After a year, brain scans showed that among the walkers, the
hippocampus had increased in volume by about 2 percent on
average; in the others, it had declined by about 1.4 percent.
Since such a decline is normal in older adults, ’a 2 percent
increase is fairly significant,’ said the lead author, Kirk
Erickson, a psychologist at the University of Pittsburgh. Both
groups also improved on a test of spatial memory, but the
walkers improved more. While it is hard to generalize from this
study to other populations, the researchers were delighted to

learn that the hippocampus might expand with exercise” (Span,
2011).
Reference
Span, P. (2011, February 7). Fitness: A walk to remember?
Study says yes. The New York Times, p. D.6. Retrieved from
http://www.nytimes.com/2011/02/08/health/research/08fitness.h
tml?src=me&ref=general
1b: Identify Arguments as Inductive or Deductive
Identify the arguments as inductive or deductive for the
following passages below. Offer a brief explanation why each
argument is either inductive or deductive. (Remember that in
this exercise you are not concerned with whether the arguments
are strong or weak, valid or invalid. You are only concerned
with the form of the arguments—that is, whether they are
deductive or inductive.)
1. Because Una has circles under her eyes, is yawning, and
looks tired, I’m certain she didn't get much sleep last night.
2. Grace concluded that psychotherapists caused indigestion,
because every time she had a session, she left with a horrible
stomachache.

3. If a bug is a spider, it must have eight legs. A daddy-longlegs
has six legs, consequently, a daddy-longlegs is not a spider.
Part 2
2a:Argument Identification and Anaylsis
In the following longer text passages, identify the key
components of each argument. For each argument, list the main
conclusion and the reasons (or premises) that support the
conclusion.
Issue
1. “You say many women at the most elite colleges intend to
‘put aside their careers in favor of raising children.’ But why
shouldn't the raising of children be considered a career as well?
Few would deny that being a stay-at-home parent is a
terrifically demanding job, requiring unlimited 'people skills'
and a total commitment to a workweek that recognizes no
concept of overtime, not to mention a paycheck. The term
'working mother' is a redundancy. No woman need feel any guilt
for opting to fill her days with whichever activities give her the
greatest joy and fulfillment” (English, 2005).

The author concludes that:
__________________________________
The reasons for making the argument are:
_____________________
2. “The attorney general does not merely head up the Justice
Department. He is responsible for ensuring that America is a
nation in which justice prevails. Mr. Gonzales's record makes
him unqualified to take on this role or to represent the American
justice system to the rest of the world. The Senate should reject
his nomination” (The New York Times, Editorial, 2005).
The author concludes that:
__________________________________
The reasons for making the argument are:
_____________________
References
Editorial: The wrong Attorney General [Editorial]. (2005,
January 26). The New York
Times.http://query.nytimes.com/gst/fullpage.html?res=F20716F
F3D5F0C758EDDA80894DD404482&smid=pl-share

English, D. (2005, September 20). A revived debate: Babies,
careers, 'Having it all.’ [Letter to the editor]. The New York
Times. Retrieved from
http://www.nytimes.com/2005/09/22/opinion/l22women.html?pa
gewanted=print
2b: Constructing Original Arguments
Complete the following:
Construct one original inductive argument and address the
following:
· Identify the conclusion and the supporting reasons within the
argument.
· Using 75–100 words, offer an explanation or justification for
why the argument is an inductive argument.
Construct one original deductive argument and address the
following:
· Identify the conclusion and the supporting reasons within the
argument.
· Using 75–100 words, offer an explanation or justification for
why the argument is a deductive argument.

2c: Finding Alternative Argument Examples or Finding
Inductive or Deductive Argument Examples
Find one example of either an inductive or a deductive argument
from contemporary media. Complete all the following tasks:
· Identify the type of argument (inductive or deductive).
· Include/reproduce the original passage of the argument and
provide a complete citation for the source.
· Identify/paraphrase the conclusion(s).
· Using 75–100 words, identify/explain how you know or why
you think the argument is an inductive/deductive one.
Page 1 of 1
Critical Thinking and Problem Solving
©2011 Argosy University Online Programs
Page 2 of 5

Critical Thinking and Problem Solving
©2011 Argosy University Online Programs
STAT200 : Introduction to Statistics Final Examination,
Spring 2015 OL2 Page 1 of 6
STAT 200
OL2 Sections
Final Exam
Spring 2015
The final exam will be posted at 12:01 am on March 27, and it
is due at 11:59 pm on March 29, 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 250 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.

1. True or False. Justify for full credit. (25 pts)
(a) The volume of milk in a jug of milk is 128 oz. The value
128 is from a
discrete data set.
(b) If the variance from a data set is zero, then all the
observations in this data set must
be zero.
(c) .ofcomplementtheis where,0)AND( AAAAP
cc

(d) The mean and median for a normal distribution are always
the same.
(e) 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.
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 6
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. (5 pts)
3. What percentage of the checkout times was less than 3
minutes? (5 pts)
4. In what class interval must the median lie? Explain your
answer. (5 pts)

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? (5 pts)
Refer to the following information for Questions 6, 7, and 8.
Show all work. Just the answer,
without supporting work, will receive no credit.
A 6-faced die is rolled two times. Let A be the event that the
outcome of the first roll is an even
number, and B be the event that the outcome of second roll is
greater than 4.
6. How many outcomes are there in the sample space? (5
pts)

7. What is the probability that the outcome of the second roll is
greater than 4, given that the
first roll is an even number? (10 pts)
8. Are A and B independent? Why or why not? (5 pts)
Refer to the following situation for Questions 9, 10, and 11.
The five-number summary below shows the grade distribution
of two STAT 200 quizzes.
Minimum Q1 Median Q3 Maximum
Quiz 1 12 40 60 95 100

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. (5 pts each)
9. Which quiz has less interquartile range in grade distribution?
10. Which quiz has the greater percentage of students with
grades 90 and over?
11. Which quiz has a greater percentage of students with grades
less than 60?

Refer to the following information for Questions 12 and 13.
There are 1000 juniors in a college. Among the 1000 juniors,
200 students are taking
STAT200, and 100 students are taking PSYC300. There are 50
students taking both
courses.
12. What is the probability that a randomly selected junior is
taking at least one of these two
courses? (10 pts)
13. What is the probability that a randomly selected junior is
taking PSYC300, given that
he/she is taking STAT200? (10 pts)

14. UMUC Stat Club is sending a delegate of 2 members to
attend the 2015 Joint Statistical Meeting
in Seattle. There are 10 qualified candidates. How many
different ways can the delegate be
selected? (5 pts)
15. Imagine you are in a game show. There are 4 prizes hidden
on a game board with 10
spaces. One prize is worth $100, another is worth $50, and two
are worth $10. You have to pay
$20 to the host if your choice is not correct. Let the random
variable x be the winning. Show all
work. Just the answer, without supporting work, will receive no
credit.

(a) What is your expected winning in this game? (5 pts)
(b) Determine the standard deviation of x. (Round the answer to
two decimal places) (10 pts)
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 8 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 8
serves from her opponent. (10 pts)
(c) How many serves can she expect to return? (5 pts)
Refer to the following information for Questions 17, 18, and 19.
The heights of pecan trees are normally distributed with a mean
of 10 feet and a standard deviation of 2
feet.
17. What is the probability that a randomly selected pecan tree

is between 10 and 12 feet tall? (10 pts)
18. Find the 3
rd
quartile of the pecan tree height distribution. (5 pts)
19. If a random sample of 100 pecan trees is selected, what is
the standard deviation of the sample
mean? (5 pts)
20. A random sample of 225 SAT scores has a sample mean of
1500. Assume that SAT
scores have a population standard deviation of 300. Construct a
95% confidence interval estimate
of the mean SAT scores. Show all work. Just the answer,
without supporting work, will receive
no credit. (10 pts)

21. Consider the hypothesis test given by
5.0:
5.0:
1
0
pH
pH
In a random sample of 225 subjects, the sample proportion is
found to be 51.0p̂ .
(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,
(c) Is there sufficient evidence to justify the rejection of 0H at
the 0.01 level?
Explain. (15 pts)
22. Consumption of a large amount 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 2 ounces of alcohol was consumed
by each. Does the data
below suggest that the 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
(c) Determine the p-value. Show all work; writing the correct
critical value, without
(d) Is there sufficient evidence to support the claim that the
consumption of 2 ounces of
alcohol increases mean reaction time? Justify your conclusion.
(20 pts)
23. 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
(b) Determine the p-value for this test. Show all work; writing
the correct P-value,
(c) Is there sufficient evidence to justify the rejection of 0H at
the 0.01 level?
Explain. (10 pts)

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. (15
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. The UMUC Daily News reported that the color distribution
for plain M&M’s was: 40%
brown, 20% yellow, 20% orange, 10% green, and 10% tan.
Each piece of candy in a
random sample of 100 plain M&M’s was classified according to
color, and the results are
listed below. Use a 0.05 significance level to test the claim that
the published color
distribution is correct. Show all work and justify your answer.

Color Brown Yellow Orange Green Tan
Number 42 21 12 7 18
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the
(c) Determine the p-value. Show all work; writing the correct
critical value, without
(d) Is there sufficient evidence to support the claim that the
published color distribution
is correct? Justify your answer.
(15 pts)

STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10Stat 200 .docx

STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10Stat 200 .docx

Recommended

Recommended

More Related Content

Similar to STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10Stat 200 .docx

Similar to STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10Stat 200 .docx (20)

More from dessiechisomjj4

More from dessiechisomjj4 (20)

Recently uploaded

Recently uploaded (20)

STAT 200 Final ExaminationSpring 2015 OL2Page 1 of 10Stat 200 .docx