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Homework2_IEN312_solution

Homework2_IEN312_solution - (b What can we assert with 98...

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Reading assignment: Sections 9.4, 9.5 Homework 2 Due next Tuesday (2/1/2010) #1 (Modified from Exercise 9.6) The heights of a random sample of 50 college students showed a sample mean of 174.5 centimeters. Assume that the heights approximately follow a normal distribution with unknown mean µ and a known standard deviation σ =6.9 centimeters. (a) Construct a 98% confidence interval for the mean height of all college students;
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Unformatted text preview: (b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters? Solution: (a) The 98% confidence interval is 50 9 . 6 326 . 2 5 . 174 ± (172.23, 176.77) (b) 50 9 . 6 326 . 2 = 2.27 Exercise 9.13...
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