Question

4). 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: μ = 8.3; H1: μ < 8.3 Ho: μ < 8.3; H1: μ = 8.3 Ho: μ = 8.3; H1: μ > 8.3 Ho: μ = 8.3; H1: μ ≠ 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? Ho: μ ≠ 8.3; H1: μ = 8.3 Ho: μ = 8.3; H1: μ < 8.3 Ho: μ = 8.3; H1: μ > 8.3 Ho: μ = 8.3; H1: μ ≠ 8.3 Is this a right-tailed, left-tailed, or two-tailed test? two-tailed right-tailed left-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: μ = 4.5; H1: μ < 4.5 Ho: μ > 4.5; H1: μ = 4.5 Ho: μ = 4.5; H1: μ ≠ 4.5 Ho: μ = 4.5; H1: μ > 4.5 Is this a right-tailed, left-tailed, or two-tailed test? two-tailed right-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? Ho: μ = 4.5; H1: μ ≠ 4.5 Ho: μ ≠ 4.5; H1: μ = 4.5 Ho: μ = 4.5; H1: μ > 4.5 Ho: μ = 4.5; H1: μ < 4.5 Is this a right-tailed, left-tailed, or two-tailed test? right-tailed two-tailed left-tailed

Answer 1

a) Null and Alternative hypothesis:  

Ho : µ = 8.3

H1 : µ < 8.3

It is a left tailed test.

b)

Null and Alternative hypothesis:  

Ho : µ = 8.3

H1 : µ ≠ 8.3

It is a two tailed test.

c)

Null and Alternative hypothesis:  

Ho : µ = 4.5

H1 : µ > 4.5

It is a right tailed test

d)

Null and Alternative hypothesis:  

Ho : µ = 4.5

H1 : µ ≠ 4.5

It is a two tailed test