# 2005 - Name (please print):_ Student No.:_ Problem 1. [9...

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Name (please print):__________________________ Student No.:_________________ Problem 1. [9 marks] Gamers are people who play games on the Internet. They get so involved with their hobby that they are glued to their computers. Health authorities are concerned enough to investigate if gamers are doing enough physical activity or exercise. A simple random sample of 144 gamers was chosen carefully and asked to fill out personal details concerning their life style. Based on appropriate criteria, it was found that only 27 of the gamers could be considered to be physically active. (a) Suppose that 25% of the general population is considered to be physically active. Test whether the true proportion of gamers involved in physical activity is less than in the general population. Use the 5% level of significance and complete the test by calculating the P-value. [5] (b) Calculate a 95% 2-sided confidence interval (CI) for the true proportion of physically active gamers. Does this confidence interval lead you to any conclusion? Explain briefly. [2] (c) Suppose we wanted to limit the margin of error in the CI to 2% with a confidence level of 95%. What sample size would be required? [2]

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Name (please print):__________________________ Student No.:_________________ Problem 2. [11 marks] Please refer to Appendix A, given separately. The manager of a fast food outlet has noted that some servers seem to serve clients much more quickly than others. He is interested in improving service by reducing the service time, and reducing the variability between servers. Since the “cash registers” are actually computers, the manager hires a programmer to record the time taken between the first cash register action and the end of the print cycle for the receipt. This is rounded to the nearest second. After a month, the manager learns that the vendor offers free training on their line of cash registers. The manager decides to compare samples of service times before and after the training. To overcome difficulties created by the mix of food purchased, the manager averages 200 customers for each of his 10 cashiers. The data is part of the Minitab output for this question. (a) Should you use a test based on differences or use two-sample methods for this data. Explain briefly. Answers without justification do not receive any marks. [2] (b) Regardless of your answer, perform a paired-t test to determine whether service times have dropped (test at the 5% significance level). You may use whatever Minitab has provided. [4] (c) Regardless of your answer in (a), perform a sign test or a Wilcoxon test to see whether service times have dropped (use the 5% level of significance). You may use whatever Minitab output is provided. [3]
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## This test prep was uploaded on 04/17/2008 for the course MANAGEMENT ADM 2304 taught by Professor Phansalker during the Winter '05 term at University of Ottawa.

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2005 - Name (please print):_ Student No.:_ Problem 1. [9...

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