Dancers' Heights
Using the data from Exercise on dancers' heights, find a 95% confidence interval for the mean height.
Also, if you had used a two-sided alternative (Instead of the one-sided alternative used in Exercise ) and had done a test with a significance level of 0.05, would you have rejected a hypothesized mean of 64.5 inches?
Exercise
Dancers' Heights 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.