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 2.9 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 = 30.2 seconds to complete the maze. Use this information to test the hypotheses Họ : µ = 30 :µ # 30 Conduct a test using a significance level of a = 0.01. (a) The standardized test statistic (b) The positive critical value (endpoint of rejection region) is z* = (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 30. OB. We can reject the null hypothesis that µ = 30 and accept that u + 30.

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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 2.9 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 a = 30.2
seconds to complete the maze. Use this information to test the hypotheses
Но : и — 30
На : д 2 30
Conduct a test using a significance level of a = 0.01.
(a) The standardized test statistic
(b) The positive critical value (endpoint of rejection region) is z* =
(c) The final conclusion is
OA. There is not sufficient evidence to reject the null hypothesis that u = 30.
OB. We can reject the null hypothesis that µ
= 30 and accept that u # 30.
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 2.9 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 a = 30.2 seconds to complete the maze. Use this information to test the hypotheses Но : и — 30 На : д 2 30 Conduct a test using a significance level of a = 0.01. (a) The standardized test statistic (b) The positive critical value (endpoint of rejection region) is z* = (c) The final conclusion is OA. There is not sufficient evidence to reject the null hypothesis that u = 30. OB. We can reject the null hypothesis that µ = 30 and accept that u # 30.
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