How much customers buy is a direct result of how much time they spend in the sto

Question

How much customers buy is a direct result of how much time they spend in the store. A study of average shopping times in a large national houseware store gave the following information (Source: Why We Buy: The Science of Shopping by P. Underhill).

Women with female companion: 8.3 min.
Women with male companion: 4.5 min.

Suppose you want to set up a statistical test to challenge the claim that a woman with a female friend spends an average of 8.3 minutes shopping in such a store.

(a) What would you use for the null and alternate hypotheses if you believe the average shopping time is less than 8.3 minutes?

Ho: = 8.3; H1: > 8.3Ho: = 8.3; H1: < 8.3    Ho: = 8.3; H1: 8.3Ho: < 8.3; H1: = 8.3

Is this a right-tailed, left-tailed, or two-tailed test?

two-tailedright-tailed    left-tailed

(b) What would you use for the null and alternate hypotheses if you believe the average shopping time is different from 8.3 minutes?

Ho: = 8.3; H1: > 8.3Ho: = 8.3; H1: 8.3    Ho: = 8.3; H1: < 8.3Ho: 8.3; H1: = 8.3

Is this a right-tailed, left-tailed, or two-tailed test?

right-tailedleft-tailed    two-tailed

Stores that sell mainly to women should figure out a way to engage the interest of men! Perhaps comfortable seats and a big TV with sports programs. Suppose such an entertainment center was installed and you now wish to challenge the claim that a woman with a male friend spends only 4.5 minutes shopping in a houseware store.

(c) What would you use for the null and alternate hypotheses if you believe the average shopping time is more than 4.5 minutes?

Ho: > 4.5; H1: = 4.5Ho: = 4.5; H1: > 4.5    Ho: = 4.5; H1: < 4.5Ho: = 4.5; H1: 4.5

Is this a right-tailed, left-tailed, or two-tailed test?

left-tailedtwo-tailed    right-tailed

(d) What would you use for the null and alternate hypotheses if you believe the average shopping time is different from 4.5 minutes?

Ho: = 4.5; H1: > 4.5Ho: = 4.5; H1: < 4.5    Ho: = 4.5; H1: 4.5Ho: 4.5; H1: = 4.5

Is this a right-tailed, left-tailed, or two-tailed test?

right-tailedtwo-tailed    left-tailed

Explanation / Answer

Solution:-

a) Ho: = 8.3; H1: < 8.3, left-tailed test.

b) Ho: = 8.3; H1: 8.3, Two tailed test.

c) Ho: = 4.5; H1: > 4.5, Right tailed test.

d) Ho: = 4.5; H1: 4.5, Two tailed test.

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