Question: A random sample of 20 independent female college aged dancers was

A random sample of 20 independent female college-aged dancers was obtained, and their heights (in inches) were measured. Assume the population distribution is Normal.
a. What is the sample mean? Is it above or below 64.5 inches?
b. Some people claim that the physical demands on dancers are such that dancers tend to be shorter than the typical person in the population. Use the four-step procedure to test the hypothesis that dancers have a smaller population mean height than 64.5 inches. Use a significance level of 0.05.

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