# 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 is $ 460. Assume the population standard deviation is $ 95. A random sample of 30 handyman projects was selected.

a. What is the probability that the sample mean will be less than $ 475?

b. What is the probability that the sample mean will be between $ 450 and $ 465?

c. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $ 460 per project.

d. Suppose the sample mean was $ 411. Does this result support the findings of HomeAdvisor Inc.?

a. What is the probability that the sample mean will be less than $ 475?

b. What is the probability that the sample mean will be between $ 450 and $ 465?

c. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $ 460 per project.

d. Suppose the sample mean was $ 411. Does this result support the findings of HomeAdvisor Inc.?

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