Store A sells melons that weigh 22 pounds on average with a standard deviation of 2.5. Store B sells melons that weigh 18 pounds on average with a standard deviation 2 pounds. You take an SRS of 40
melons from store A and an SRS of 34 from store B.
(A) Find the mean of each sampling distribution.
(B) Would it be reasonable to use the standard deviation formula? Explain.
(C) Find standard deviation of each sampling distribution.
(D) How would you describe each distribution?
(E) How would you describe the distribution of difference in mean weight of samples from the two
stores?
(F) Find the mean and standard deviation of the difference in the weight of melons from stores A and B.
(G) How frequently do the mean weights of the melons exceed 5 pounds?