# Question: Many homeowners rely on handymen to perform small jobs such

Many homeowners rely on handymen to perform small jobs, such as repairs or maintenance, around their residence. According to HomeAdvisor Inc., the average cost for a handyman project in Atlanta is more than the average cost for a project in Chicago. To test this claim, a random sample of 32 handyman projects in Atlanta was selected, and it was found that the average cost was \$ 437 with a sample standard deviation of \$ 83. A random sample of 36 handyman projects in Chicago was selected, and it was found that the average cost was \$ 411 with a sample standard deviation of \$ 62. Assume the population variances for the cost of handyman projects for these two cities are not equal.
a. Using α = 0.05, perform a hypothesis test for the ­HomeAdvisor claim.
b. Approximate the p value using Table 5 in Appendix A and interpret the results.
c. Determine the precise p value using Excel and interpret the results.
d. Verify your results using PHStat.
e. What assumptions need to be made in order to perform this procedure?

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