Question
In: Math
A survey of the mean number of cents off that coupons give was conducted by randomly...
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: 20¢; 75¢; 50¢; 65¢; 30¢; 55¢; 40¢; 40¢; 30¢; 55¢; $1.50; 40¢; 65¢; 40¢. Assume the underlying distribution is approximately normal. You wish to conduct a hypothesis test (α = 0.05 level) to determine if the mean cents off for coupons is less than 50¢.
- State the null and alternate hypotheses clearly.
- Conduct the hypothesis test based on the test statistic and critical value(s). Clearly indicate each.
- What is the p-value? Use the p-value to conduct the same test
- Report your conclusion in words, in the context of the problem.
- What is the power of the for an alternative hypothesis value of 49¢?
Solutions
milcah answered 1 month agoRelated Solutions
A survey of the mean number of cents off that coupons give was conducted by randomly...
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 Rockford newspaper. The following data were
collected: 20¢; 75¢; 50¢; 75¢; 30¢; 55¢; 10¢; 40¢; 30¢; 55¢; $1.50;
40¢; 65¢; 40¢. Assume the underlying distribution is approximately
normal. Construct a 95% confidence interval for the population mean
worth of coupons. Find the lower limit of the confidence interval.
Enter it rounded to...
A survey of the mean number of cents off that coupons give was conducted by randomly...
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: 20¢; 75¢; 50¢; 65¢; 30¢; 55¢; 40¢; 40¢; 30¢; 55¢; $1.50;
40¢; 65¢; 40¢. Assume the underlying distribution is approximately
normal.
Construct a 95% confidence interval for the population mean
worth of coupons. Use a critical value of 2.16 from the
t distribution.
A survey of the mean number of cents off that coupons give was conducted by randomly...
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: 20¢; 75¢; 50¢; 65¢; 30¢; 55¢; 40¢; 40¢; 30¢; 55¢; $1.50;
40¢; 65¢; 40¢. Assume the underlying distribution is
approximately normal. You wish to conduct a hypothesis test (α
= 0.05 level) to determine if the mean cents off for coupons is
less...
A survey of the mean number of cents off that coupons give was conducted by randomly...
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: 20¢; 75¢; 50¢; 65¢; 30¢; 55¢; 40¢; 40¢; 30¢; 55¢; $1.50;
40¢; 65¢; 40¢. Assume the underlying distribution is approximately
normal.
(e) Construct a 95% confidence interval for the population mean
worth of coupons. Use a critical value of 2.16 from the
t distribution....
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