The data in the table represent the ages of the winners of an award for the 37 60 past five years. Use the data to answer questions (a) through (e). 43 48 42 (a) Compute the population mean, p. p= 46 (b) Compute the mean for all 502 = 10 samples with size n = 2. Sample Sample Mean Sample Sample Mean 37,60 48.5 60,48 54 37,43 40 60,42 51 37,48 42.5 43,48 45.5 37,42 39.5 43,42 42.5 60,43 51.5 48,42 45 (0) Construct a sampling distribution for the mean by listing the sample means and their corresponding probabilities. Give all the unique sample means in ascending order. (Type N if there is no solution.) Sample Mean Probability Sample Mean Probability 1 39.5 0.1 6 48.5 0.1 2 40 0.1 7 51 0.1 3 42.5 0.2 8 51 .5 0.1 4 45 0.1 9 54 0.1 5 45.5 0.1 10 N N (d) Compute the mean of the sampling distribution. The mean of the sampling distribution is D years