Use Minitab to simulate taking a random sample of 200 male Angus beef cattle (N(1156,84)).**
How many of the values do you expect to be less than 1072 or greater than 1240?
Why do you expect this number? How many of your values are actually in those intervals? (Hint: Standardize, then use a stem-and-leaf diagram.)
We say that we expect their average weight to be 1156 lbs; that is, 1156 is the expected value of the distribution. What is the average of your sample? Briefly explain why it is not equal to 1156.
What is the standard deviation of your sample? What did you expect the standard deviation of your sample to be? Briefly explain why the standard deviation of your sample is not equal to what you expected.