STAT 332 Assignment 2 – Fall 2020 May not be reproduced in any manner without the explicit permission of Riley A. Metzger, UW 2020 Page 1 Last (Family) Name: First (Given) Name: Userid (i.e. rametzge): UW ID (i.e. 20202020): Due: Oct 2 at NOON, ONLINE in Crowdmark Marking: Please note that the TAs may not be marking all questions in this assignment. The exact questions that will be marked will not be determined until after the due date. Group Work: The work handed in must be your own. Computer Output: Please include computer code in your assignment, as well as all relevant output (some examples where examples would be appropriate). Please do not use any libraries that do not come with the base system – otherwise the teaching assistants will assign you a zero. Pagination: Please use a new page for each question part. So if a question has parts a, b and c, you should have 3 separate pages. STAT 332 Assignment 2 – Fall 2020 May not be reproduced in any manner without the explicit permission of Riley A. Metzger, UW 2020 Page 2 Question 1. An instructor tests the hypothesis that his students have a mean grade of more than 75%. He obtains a pvalue of 0.54. His sample average grade is 65.45%. Assume he has the standard deviation from a prior study. Part A. Build a 95% confidence interval for the mean grade. Part B. How large should his sample be to be accurate to a CI width of at most 2√ units? Question 2. Consider the model = + + with = 1,2 and = 1,2,3 where ~(0, 2). Derive the estimates of all the non sigma parameters. Question 3. Eight cyclists ride their bikes down the road. Two radar guns measure the speed of the cyclists. We would like to compare the speeds of the average riders as measured by the two guns. Cyclist 1 2 3 4 5 6 7 8 Radar Gun 1 12 16 32 12 18 9 13 5 Radar Gun 2 7 11 15 11 13 7 8 19 Build a 95% confidence interval to compare the two guns. Question 4. The heights of 16 people in the Netherlands are on average 74.21 inches with a standard deviation of 6.8. The heights of 16 people from North America are on average 70.68 with a standard deviation of 4.2. Build a 95% confidence interval comparing the heights of those in North America to those in the Netherlands.
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