Question 657391: The Metro Bus Line is getting complaints from its drivers on the morning shift that some of the routes they drive require more time to cover than drivers on the afternoon shift. Therefore, these drivers want more compensation in the form of overtime. The Bus Line conducted a study to see if the drivers complaints were valid.
A sample of 42 drivers on the morning shift indicated that they spent on the average 9.7 hours covering their routes. The standard deviation was 1.2 hours. A survey of 58 drivers on the afternoon shift found that drivers required 8.3 hours with a standard deviation of 1.6 hours to cover the same rounts as the morning dirvers. The bus company wants the result to be 95% accurate.
A. State the numm and alternative hypoteses of the decision
B. What is the critical value for the .05 level?
C. What is the test statistic?
D. What is your conclusion?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Metro Bus Line is getting complaints from its drivers on the morning shift that some of the routes they drive require more time to cover than drivers on the afternoon shift. Therefore, these drivers want more compensation in the form of overtime. The Bus Line conducted a study to see if the drivers complaints were valid.
A sample of 42 drivers on the morning shift indicated that they spent on the average 9.7 hours covering their routes. The standard deviation was 1.2 hours. A survey of 58 drivers on the afternoon shift found that drivers required 8.3 hours with a standard deviation of 1.6 hours to cover the same rounts as the morning dirvers. The bus company wants the result to be 95% accurate.
A. State Ho and the alternative hypothesis of the decision
Ho: u(morn)-u(aft) = 0
Ha: u(morn)-u(aft) > 0
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B. What is the critical value for the .05 level?
Ans: z = 1.645
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C. What is the test statistic?
z = 4.9992
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D. What is your conclusion?
Ans: Reject Ho. The morning drivers spend more time working.
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Cheers,
Stan H.
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