Question: The following population data for a market research study identifying the number of hours of television watched per week is available for N=100 respondents:

10, 12, 14, 14, 15, 16, 17, 18, 15, 15, 14, 19, 13, 16 ,17, 19, 15, 13, 18, 16, 12, 16, 18, 17, 19

11, 12, 14, 14, 15, 16, 17, 18, 16, 15, 14, 19, 13, 16 ,17, 19, 15, 13, 18, 16, 12, 16, 18, 17, 19

12, 12, 13, 14, 15, 16, 17, 18, 17, 15, 14, 19, 13, 16 ,17, 19, 15, 13, 18, 16, 12, 15, 17, 17, 20

13, 12, 14, 14, 15, 16, 17, 18, 19, 15, 14, 19, 13, 16 ,17, 19, 15, 13, 18, 16, 12, 16, 18, 17, 19

a. Compute the population mean and population variance (1 point)

b. If a random sample of n=36 items is selected from the population data, calculate the probability that the sample mean will be less than 14.9 or greater than 17.5. (3 points)

c. What is the range of extreme sampling error for a sample of 36? (1 point)