Let’s simulate the sampling distribution related to the disc jockey’s concern for “length of cut” in Exercise
a. Use a computer to randomly generate 50 samples, each of size 10, from a normal distribution with mean 135 and standard deviation 10. Find the “sample total” and the sample mean for each sample.
b. Using the 50 sample means, construct a histogram and find their mean and standard deviation.
c. Using the 50 sample “totals,” construct a histogram and find their mean and standard deviation.
d. Compare the results obtained in parts b and c. Explain any similarities and any differences observed.