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 population standard deviation of 2.8 seconds. You wish to see if the mean time u is changed by vigorous exercise, so you have a group of 20 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of = 27.6 seconds to complete the maze. Use this information to test the hypotheses Họ : µ = 30 HẠ : µ + 30 Conduct a test using a significance level of a = 0.05. (a) The test statistic

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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 population standard deviation of 2.8 seconds. You wish to see if the mean time u is changed by vigorous exercise, so you have a group of 20 college
students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of x :
this information to test the hypotheses
Но
27.6 seconds to complete the maze. Use
:µ = 30
На: н+ 30
Conduct a test using a significance level of a = 0.05.
A
(a) The test statistic
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 population standard deviation of 2.8 seconds. You wish to see if the mean time u is changed by vigorous exercise, so you have a group of 20 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of x : this information to test the hypotheses Но 27.6 seconds to complete the maze. Use :µ = 30 На: н+ 30 Conduct a test using a significance level of a = 0.05. A (a) The test statistic
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