Question: Manufacturing and Product Development The coverage of a gallon of paint depends on the surface, the type and quality of the paint, and the applicator. A local hardware store stocks 30 different paints.
a. Use a computer or calculator to draw 50 random samples of size 5 without replacement, and compute the mean for each sample.
b. Construct a histogram of the sample means.
c. Use the histogram to approximate the sampling distribution of the mean. What is the approximate shape of the distribution? What is the approximate value of the mean of the sample mean?
d. Find the population mean. How does this compare with the approximate mean of the sampling distribution?