Question: A survey of the average amount of cents off that coupons give was done by randomly surveying one coupon per page from the coupon sections of recent San Jose Mercury News. The following data were collected: 20 ¢; 75 ¢; 50 ¢; 65 ¢; 30 ¢; 55 ¢; 40 ¢; 40 ¢ 30 ¢; 55 ¢; $1.50; 40 ¢; 65 ¢ ;40 ¢. Assume the underling distribution is approximately normal.

a. ?X = Sx = n = n - 1 = .

b. define the random Variables X and ?X, in words.

(c) which distribution should you use for this problem? Explain your choice.

(d) Construct a 95% confidence interval for the population average worth of coupons.

i. state the confidence interval.

ii. Sketch the graph.

iii. calculate the error bound.

(e) If many random samples were taken of size 14, what percent of the confident intervals constructed should contain the population average worth of coupons? Explain why.