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STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL1/US1 Page 1 of 7 STAT 200 OL1/US1 Sections Final Exam Spring 2016 The final...

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STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL1/US1 Page 1 of 7 STAT 200 OL1/US1 Sections Final Exam Spring 2016 The final exam will be posted at 12:01 am on March 4, and it is due at 11:59 pm on March 6, 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.
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STAT 200: Introduction to Statistics Final Examination, Spring 2016 OL1/US1 Page 2 of 7 1. True or False. Justify for full credit. (a) The standard deviation of a data set cannot be negative. (b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.2. (c) The mean is always equal to the median for a normal distribution. (d) A 95% confidence interval is wider than a 98% confidence interval of the same parameter. (e) In a two-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) = 0.98, then we fail 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) A STAT 200 professor wants to estimate the study hours of his students. He teaches two sections, and plans on randomly selecting 10 students from the first section and 15 students from the second section. (b) 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. (c) The quality control department of a semiconductor manufacturing company tests every 100 th product from the assembly line. (d) On the day of the last presidential election, UMUC News Club organized an exit poll in which specific polling stations were randomly selected and all voters were surveyed as they left those polling stations. 3. 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. ( Show all work. Just the answer, without supporting work, will receive no credit.) 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 (a) Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places. (b) What percentage of the checkout times was at least 4 minutes? (c) Does this distribution have positive skew or negative skew? Why?
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STAT 200 SOLUTION.docx

Question 1
a)
b)
c)
d)
e) TRUE, a square root value cannot be negative
FALSE, if the two event are disjoint then P(A and B)=0
TRUE, the normal distribution is symmetric about its mean, median and...

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