The time needed for college students to complete a certain maze follows a normal distribution with a mean of 45 seconds. To see if the mean time time (in seconds) is changed by vigorous exercise, we have a group of 51 college students exercise vigorously for 30 minutes and then complete the maze. The sample mean and standard deviation of the collected data is 49.2 seconds and 6.5 seconds respectively. Use these data to perform an appropriate test of hypothesis at 5% level of significance. Use p-value approach. A. State the null and the alternative hypotheses. B. Select the appropriate inference procedure and verify conditions for using it. Calculate the value of the test statistic. C. Calculate the p-value. D. State the test decision and conclusion.

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The time needed for college students to complete a certain maze follows a normal distribution with a mean of 45 seconds. To
see if the mean time time (in seconds) is changed by vigorous exercise, we have a group of 51 college students exercise
vigorously for 30 minutes and then complete the maze. The sample mean and standard deviation of the collected data is 49.2
seconds and 6.5 seconds respectively. Use these data to perform an appropriate test of hypothesis at 5% level of significance.
Use p-value approach.
A. State the null and the alternative hypotheses.
B. Select the appropriate inference procedure and verify conditions for using it. Calculate the value of the test statistic.
C. Calculate the p-value.
D. State the test decision and conclusion.
Transcribed Image Text:The time needed for college students to complete a certain maze follows a normal distribution with a mean of 45 seconds. To see if the mean time time (in seconds) is changed by vigorous exercise, we have a group of 51 college students exercise vigorously for 30 minutes and then complete the maze. The sample mean and standard deviation of the collected data is 49.2 seconds and 6.5 seconds respectively. Use these data to perform an appropriate test of hypothesis at 5% level of significance. Use p-value approach. A. State the null and the alternative hypotheses. B. Select the appropriate inference procedure and verify conditions for using it. Calculate the value of the test statistic. C. Calculate the p-value. D. State the test decision and conclusion.
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