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## STAT200 Introduction to Statistics Examination

Order ID53003233773 TypeEssay Writer LevelMasters StyleAPA Sources/References4 Perfect Number of Pages to Order5-10 Pages

Description/Paper InstructionsSTAT200 Introduction to Statistics Examination

STAT 200

US2 / OL4 Sections

Final Exam

Spring 2014

The final exam will be posted in the Conference at 12:01 am on

May 9, and it is due at 11:59 pm on May 11, 2014.

Eastern Time is our reference time.

Honor Pledge for this exam:

After you have finished the exam, copy the following statement

and sign it electronically.

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.

______________________________________

(Please sign above electronically.)

STAT200 : Introduction to Statistics Final Examination, Spring 2014 US2 / OL4 Page 2 of 6

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

programs or software packages will not be accepted.

This exam has 300 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.

Refer to the following table for Questions 1, 2, and 3. Show all work. Just the answer, without

supporting work, will receive no credit.

The table shows temperatures on the first 12 days of October in a small town in Maryland.

Date Temperature Date Temperature Date Temperature

Oct 1 73 Oct 5 53 Oct 9 66

Oct 2 65 Oct 6 52 Oct 10 49

Oct 3 65 Oct 7 62 Oct 11 52

Oct 4 70 Oct 8 55 Oct 12 57

- Determine the five-number summary for this data. (10 pts)
- Determine the mean temperature. (3 pts)
- Determine the mode(s), if any. (2 pts)
Refer to the following frequency distribution for Questions 4, 5, 6, and 7. 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

1.0 – 1.9 6

2.0 – 2.9 7

3.0 – 3.9 2

4.0 – 4.9 3

5.0 – 5.9 2

- What percentage of the checkout times was at least 4 minutes? (5 pts)
- Calculate the mean of this frequency distribution. (5 pts)
STAT200 : Introduction to Statistics Final Examination, Spring 2014 US2 / OL4 Page 3 of 6

- Calculate the standard deviation of this frequency distribution. (10 pts)
- Assume that the smallest observation in this dataset is 1.2 minutes. Suppose this
observation were incorrectly recorded as 0.12 instead of 1.2. Will the mean increase,

decrease, or remain the same? Will the median increase, decrease or remain the same?

Explain your answers. (5 pts)

Refer to the following information for Questions 8 and 9. 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 greater than

- Let B be the event that the outcome of second roll is an odd number.
- What is the probability that the outcome of the second roll is an odd number, given that the first
roll is greater than 4? (10 pts)

- Are A and B independent? Why or why not? (5 pts)
Refer to the following data to answer questions 10 and 11. Show all work. Just the answer,

without supporting work, will receive no credit.

A random sample of STAT200 weekly study times in hours is as follows:

4 14 15 17 20

- Find the standard deviation. (10 pts)
- Are any of these study times considered unusual in the sense of our textbook? Explain.
Does this differ with your intuition? Explain. (5 pts)

Refer to the following information for Questions 12 and 13. Show all work. Just the answer,

without supporting work, will receive no credit.

There are 1500 juniors in a college. Among the 1500 juniors, 200 students are taking

STAT200, and 100 students are taking PSYC300. There are 50 juniors taking both courses.

- What is the probability that a randomly selected junior is in at least one of the two
courses? (10 pts)

- What is the probability that a randomly selected junior takes only one of the two courses?
(10 pts)

Refer to the following information for Questions 14, and 15. Show all work. Just the answer,

without supporting work, will receive no credit.

A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical.

From this box, we draw one chip at random, and record its value. We then put the chip back in the

box. We repeat this process two more times, making three draws in all from this box.

- How many elements are in the sample space of this experiment? (5 pts)
- What is the probability that the three numbers drawn are all multiples of 5? (10 pts)
STAT200 : Introduction to Statistics Final Examination, Spring 2014 US2 / OL4 Page 4 of 6

Questions 16 and 17 involve the random variable x with probability distribution given below.

Show all work. Just the answer, without supporting work, will receive no credit.

x 1 2 3 4 5

( )P x 0.1 0.2 0.3 0.1 0.3

- Determine the expected value of x. (10 pts)
- Determine the standard deviation of x. (10 pts)
Consider the following situation for Questions 18, 19 and 20. Show all work. Just the answer,

without supporting work, will receive no credit.

Mimi just started her tennis class three weeks ago. On average, she is able to return 15% of

her opponent’s serves. Let random number X be the number of serves Mimi returns. As

we know, the distribution of X is a binomial probability distribution. If her opponent serves

10 times, please answer the following questions:

- What is the number of trials (n), probability of successes (p) and probability of failures (q),
respectively? (5 pts)

- Find the probability that she returns at most 8 of the 10 serves from her opponent . (10 pts)
- Find the mean and standard deviation for the probability distribution. (10 pts)
Refer to the following information for Questions 21, 22, and 23. Show all work. Just the answer,

without supporting work, will receive no credit.

The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2

feet.

- What is the probability that a randomly selected pecan is between 8 and 12 feet tall? (10 pts)
- Find the 80 th percentile of the pecan tree height distribution. (5 pts)
- If a random sample of 64 pecan trees is selected, what is the standard deviation of the sample
mean? (5 pts)

- A random sample of 625 SAT scores has a mean of 1500. Assume that SAT scores have
a population standard deviation of 250. Construct a 95% confidence interval estimate of the mean

SAT scores. Show all work. Just the answer, without supporting work, will receive no credit.

(15 pts)

STAT200 : Introduction to Statistics Final Examination, Spring 2014 US2 / OL4 Page 5 of 6

- Given a sample size of 81, with sample mean 730 and sample standard deviation 90, we
perform the following hypothesis test at the 0.05a = level.

0 : 750H m =

1 : 750H m <

(a) Determine the test statistic. Show all work; writing the correct test statistic, without

supporting work, will receive no credit.

(b) Determine the critical value. Show all work; writing the correct critical value,

without supporting work, will receive no credit.

(c) What is your conclusion of the test? Please explain. (20 pts)

- Consider the hypothesis test given by
0

1

: 530

: 530.

H

H

m

m

=

¹

In a random sample of 225 subjects, the sample mean is found to be 525=x . Also, the

population standard deviation is 25=s .

(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 0H at the 0.01a = level?

Explain. (20 pts)

- A certain researcher thinks that the proportion of women who say that the earth is getting
warmer is greater than the proportion of men. The research conducted a survey, and

found the following result:

In a random sample of 250 women, 70% said that the earth is getting warmer.

In a random sample of 200 men, 67% said that the earth is getting warmer.

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; writing the correct test statistic, without

supporting work, will receive no credit.

(c) Determine the critical value. Show all work; writing the correct critical value,

without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the proportion of women saying

the earth is getting warmer is higher than the proportion of men saying the earth is

getting warmer? Justify your conclusion. (25 pts)

STAT200 : Introduction to Statistics Final Examination, Spring 2014 US2 / OL4 Page 6 of 6

Refer to the following data for Questions 28 and 29.

:

x 0 – 1 1 2 4

y 3 – 2 4 6 8

- 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)

- Based on the equation from # 28, what is the predicted value of y if x = 3? Show all work
and justify your answer. (10 pts)

- The UMUC Daily News reported that the color distribution for plain M&M’s was: 35%
brown, 20% yellow, 20% orange, 15% 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.

Color Brown Yellow Orange Green Tan

Number 42 21 15 9 13

Assume we want to use a 0.10 significance level to test the claim that the published color

distribution is correct.

(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 critical value. Show all work; writing the correct critical value,

without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the published color distribution

is correct? Justify your answer. (25 pts)

STAT200 Introduction to Statistics Examination

RUBRIC

QUALITY OF RESPONSENO RESPONSEPOOR / UNSATISFACTORYSATISFACTORYGOODEXCELLENTC ontent (worth a maximum of 50% of the total points)Zero points: Student failed to submit the final paper.20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking.30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking.40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete.50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing.Use of Sources (worth a maximum of 20% of the total points).Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper.5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6^{th}Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper.10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6^{th}Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources.15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6^{th}Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources.20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6^{th}Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment.Grammar (worth maximum of 20% of total points)Zero points: Student failed to submit the final paper.5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage.20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free.Structure of the Paper (worth 10% of total points)Zero points: Student failed to submit the final paper.3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6^{th}edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6^{th}edition requirements whatsoever.5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6^{th}edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment.10 points: Student provides a high-caliber, formatted paper. This includes an APA 6^{th}edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper.## GET THIS PROJECT NOW BY CLICKING ON THIS LINK TO PLACE THE ORDER

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