All the remaining questions are based on the following scenario. Suppose that the average trip time from Oak Park to UIC on the Blue line is 28 minutes and that the standard deviation of the population is 16 minutes. We are interested to know whether the average trip time on Thursdays is shorter. We study a sample of 36 trips on Thursdays and the average is 26.5 minutes. Execute a hypothesis test at alpha= 5% that the average trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). What are Ho and Ha? Ho: mu=28; Ha: mu not = 28 Ho: mu=28; Ha: mu>28 Ho: mu<28; Ha: mu=28 Ho: mu=28; Ha: mu<28 What is the formula and value for Z (mu - x-bar)/[sigma/square root of n]; z=-1.26 (mu - x-bar)/[sigma/square root of n]; z=0.10 (x-bar - mu)/[sigma/square root of n]; z=-0.56 (x-bar - mu)/[sigma/square root of n]; z=23.627 What is the P-value? Select the closest answer 0.3562 0.2877 0.7123 0.4987 What is the statistical conclusion? Fail to reject Ha for Ho Fail to reject Ho for Ha Reject Ho for Ha Reject Ha for Ho What is the English conclusion We do not have adequate statistical evidence to conclude that the population average is less on Thursdays The population average is less on Thursdays The sample average is less on Thursdays We do not have adequate statistical evidence to conclude that the sample average is less on Thursdays

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Related questions

Question

All the remaining questions are based on the following scenario. Suppose that the average trip time from Oak Park to UIC on the Blue line is 28 minutes and that the standard deviation of the population is 16 minutes. We are interested to know whether the average trip time on Thursdays is shorter. We study a sample of 36 trips on Thursdays and the average is 26.5 minutes. Execute a hypothesis test at alpha= 5% that the average trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). What are Ho and Ha?

		Ho: mu=28; Ha: mu not = 28
		Ho: mu=28; Ha: mu>28
		Ho: mu<28; Ha: mu=28
		Ho: mu=28; Ha: mu<28

What is the formula and value for Z

		(mu - x-bar)/[sigma/square root of n]; z=-1.26
		(mu - x-bar)/[sigma/square root of n]; z=0.10
		(x-bar - mu)/[sigma/square root of n]; z=-0.56
		(x-bar - mu)/[sigma/square root of n]; z=23.627

What is the P-value? Select the closest answer

		0.3562
		0.2877
		0.7123
		0.4987

What is the statistical conclusion?

		Fail to reject Ha for Ho
		Fail to reject Ho for Ha
		Reject Ho for Ha
		Reject Ha for Ho

What is the English conclusion

		We do not have adequate statistical evidence to conclude that the population average is less on Thursdays
		The population average is less on Thursdays
		The sample average is less on Thursdays
		We do not have adequate statistical evidence to conclude that the sample average is less on Thursdays

Based on the specifics of your exam problem, what value from the z-table should you use for dividing line (Select the closest answer)?

		-1.96
		-1.64
		1.96
		1.64

Which of the options below is closest to the dividing line in minutes

		Solve alpha * n and get 1.8
		Solve (x-bar - mu)/[sigma/square root of n] and get z=1.64
		Solve (x-bar - mu)/[sigma/square root of n] and get z=26.5
		Solve (x-bar - mu)/[sigma/square root of n] and get x-bar=23.627

Based on the specifics of your exam, what is the correct formula for finding the probability of rejecting Ho if mu is actually 27

		(26.5 - 27)/[27/square root of 36]
		(23.627 - 27)/[16/square root of 36]
		(23.627 - 27)/[36/square root of 16]
		(26.5 - 27)/[16/square root of 36]

What is the probability of rejecting Ho if mu is 27

		0.95
		0.904
		0.1038
		5%

See the table in the Week 11 folder. What are the numbers that go in positions 1 thorugh 4 (in order)?

0.05,0.95,0.8962,0.1038

0.05,0.95,0.1038,0.8962

0.95,0.05,0.1038,0.8962

0.95,0.05,0.8962,0.1038

See the table in the Week 11 folder. What are the terms that go in positions 1 thorugh 4 (in order)?

Alpha, Confidence, Power, Beta

Confidence, Alpha, Beta, Power

Alpha, Confidence, Beta, Power

Confidence, Alpha, Power, Beta