The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean time u is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that o remains unchanged at 3 seconds. You decide to test the hypotheses Ho: u = 30 versus Ha: u # 30 at the 1% significance level. What is the power of your test at u = 28 seconds?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The time needed for college students to complete a certain paper-and-pencil maze follows a Normal
distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean
time u is changed by vigorous exercise, so you have a group of nine college students exercise vigorously
for 30 minutes and then complete the maze. Assume that o remains unchanged at 3 seconds. You decide to
test the hypotheses Ho:
= 30 versus Ha: µ # 30 at the 1% significance level. What is the power of your
test at u = 28 seconds?
Transcribed Image Text:The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean time u is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that o remains unchanged at 3 seconds. You decide to test the hypotheses Ho: = 30 versus Ha: µ # 30 at the 1% significance level. What is the power of your test at u = 28 seconds?
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