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    Statistics - Hypothesis Testing

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    List the data elements you are provided or can calculate. How do you use these data elements to determine how to solve the problem?

    Fry Brothers Heating and Air Conditioning, Inc. employs 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?

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    Solution Preview

    n1 = 40, x1-bar = 4.77, s1 = 1.05, n2 = 50, x2-bar = 5.02, s2 = 1.23, alpha = 0.05

    H0: There is no difference between the mean number of calls made, that is, mu1 = mu2 or mu1 - mu2 = 0

    Ha: There is a ...

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