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STAT 200 Final Examination Spring 2016 OL1/US1 Page 6 of 10

STAT 200 Introduction to Statistics Name______________________________

Final Examination: Spring 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 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. 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) False. Because if A and B are disjoint then (c) (d) False, because a 95% confidence interval is smaller than a 98% confidence interval of the same parameter because decreasing the confidence limit decrease the acceptance region and increases the rejection region. (e) Justification:
2	Answer: (a) (b) (c) (d) Justification:
3	Answer: (a) Checkout Time (in minutes) Frequency Relative Frequency 1.0 - 1.9 3 0.12 2.0 - 2.9 12 0.48 3.0 - 3.9 5 0.20 4.0 - 4.9 3 0.12 5.0 -5.9 2 0.08 Total 25 1 (b) (c) This distribution is positively skewed as the frequency in the second interval is 12 and all the following frequencies are much less. This can also be noticed in the graph:
4	Answer: (a) Since every marble can be drawn first and every marble can be drawn second, there are possibilites: RR, RG, RB, GR, GB, GG, BB, BR, BG allowing the first color of the drawn marble represent the draw. (b) Work for (b) :
5	Answer: (a)Both quizzes have the same value request because the inter quartile range for Quiz 1 is and the quartile range for quiz 2 is (b) Quiz 2 because 75th percentile is having grades 90 (c) Quiz 2 because the median is students having grades 50 Justification:
6	Answer: (a) L(Laptop)=800/1000, T(Tablet) 300/1000 (b) L(=0.1875 Work for (b):
7	Answer: (a) (b) Work for (a) and (b):
8	Answer: (a) (b) Work for (a) and (b):
9	Answer: Work:
10	Answer: (a) (b) X = number of serves that Mimi returns P(X≥1) = 1- P(X=0)
11	Answer: (a) (b) Work for (a) and (b):
12	Answer: (a) (b) Work for (a) and (b):
13	Answer: Work:
14	Answer: Work:
15	Answer: (a) (b) (c) (d) Work for (b) and (c):
16	Answer: (a) . (b) (c) (d) Work for (b) and (c):
17	Answer: (a) (b) (c) (d) Work for (b) and (c):
18	Answer: (a) (b) Work for (a) and (b):
19	Answers: (a) (b) (c). Work for (a) and (b):
20	Answer : (a) Source of Variation Sum of Squares (SS) Degrees of Freedom (df) Mean Square (MS) Factor (Between) 42.36 Error (Within) Total 1100.76 249 N/A (b) (c) (d) Work for (a), (b) and (c)