Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips The mean shopping time, , spent by customers at the supermarkets has been reported to be 36 minutes, but executives have good reason to believe that is greater than 36 minutes The executives hire a statistical consultant and ask her to perform a statistical test To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 12 minutes Based on this information, complete the parts below (a) What are the null hypothesis H 0 and the alternative hypothesis H 1 that should be used for the test H 0 H 1 (b) Suppose that the consultant decides to reject the null hypothesis What sort of error might she be making (Choose one) (type I or type II) (c) Suppose the true mean shopping time spent by customers at the supermarkets is 45 minutes Fill in the blanks to describe a Type II error A Type II error would be (Choose one) (rejecting or failing to reject) the hypothesis that is (Choose one) (less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to) (Choose one) (36, 42, or 12) when, in fact, is (Choose one) (equal to 12, equal to 36, less than 12, less than 36, less than 42, or greater than 36)

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jul 04, 2024

Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time,

Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, , spent by customers at the supermarkets has been reported to be 36 minutes, but executives have good reason to believe that is greater than 36 minutes. The executives hire a statistical consultant and ask her to perform a statistical test. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be

42 minutes and the standard deviation of the times to be 12 minutes.

Based on this information, complete the parts below.

(a)	What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test?
H0:
H1:
(b)	Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making?
	(Choose one) (type I or type II)
(c)	Suppose the true mean shopping time spent by customers at the supermarkets is 45 minutes. Fill in the blanks to describe a Type II error.
A Type II error would be (Choose one) (rejecting or failing to reject) the hypothesis that is (Choose one) (less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to). (Choose one) (36, 42, or 12) when, in fact, is (Choose one) (equal to 12, equal to 36, less than 12, less than 36, less than 42, or greater than 36).