A survey of the mean number of cents off that coupons give was conducted by randomly surveying one coupon per page from the coupon sections of a recent San Jose Mercury News. The following data were collected: 15; 80; 50; 65; 30; 55; 40; 40; 30; 55; $1.50; 40; 65; 40. Assume the underlying distribution is approximately normal. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) a) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) b)If many random samples were taken of size 14, what percent of the 95% confidence intervals constructed should contain the population mean worth of coupons?
8. A survey of the mean number of cents off that coupons give was conducted by randomly surveying one coupon per page from the coupon sections of a recent San Jose Mercury News. The following data were collected: 15; 80; 50; 65; 30; 55; 40; 40; 30; 55; $1.50; 40; 65; 40. Assume the underlying distribution is approximately normal.
NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is
a) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
b)If many random samples were taken of size 14, what percent of the 95% confidence intervals constructed should contain the population mean worth of coupons?
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