How much customers buy is a direct result of how much time t

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?

H_o: = 8.3; H₁: 8.3 H_o: = 8.3; H₁: < 8.3     H_o: = 8.3; H₁: > 8.3 H_o: < 8.3; H₁: = 8.3

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

left-tailed two-tailed     right-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?

H_o: = 8.3; H₁: 8.3 H_o: = 8.3; H₁: < 8.3     H_o: = 8.3; H₁: > 8.3 H_o: 8.3; H₁: = 8.3

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

left-tailed two-tailed     right-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?

H_o: = 4.5; H₁: > 4.5 H_o: = 4.5; H₁: < 4.5     H_o: = 4.5; H₁: 4.5 H_o: > 4.5; H₁: = 4.5

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

right-tailed two-tailed     left-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?

H_o: = 4.5; H₁: < 4.5 H_o: 4.5; H₁: = 4.5     H_o: = 4.5; H₁: 4.5 H_o: = 4.5; H₁: > 4.5

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

right-tailed left-tailed     two-tailed

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