Question 448588: Fry Brothers Heating and Air Conditioning, Inc. employ Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. A random sample of 40 days last year showed that Larry Clark made an average of 4.77 calls per day, with a standard deviation of 1.05 calls per day. For a sample of 50 days, George Murnen made an average of 5.02 calls per day, with a standard deviation of 1.23 calls per day. At the .05 significance level, is there a difference in the mean number of calls per day between the two employees? What is the p-value?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Fry Brothers Heating and Air Conditioning, Inc. employ Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day.
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A random sample of 40 days last year showed that Larry Clark made an average of 4.77 calls per day, with a standard deviation of 1.05 calls per day.
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For a sample of 50 days, George Murnen made an average of 5.02 calls per day, with a standard deviation of 1.23 calls per day.
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At the .05 significance level, is there a difference in the mean number of calls per day between the two employees?
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What is the p-value?
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Ho: u1-u2 = 0
Ha: u1-u2 is not equal to zero.
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I ran a 2-SampleTtest on a TI-84 and got the following:
test stat: t -1.0400
p-value: 0.3014
df = 87.50
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Conclusion:
Since the p-value is greater than 5%, fail to reject Ho.
The test results say there is no significant statistical
difference between the two employees.
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Cheers,
Stan H.
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