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?

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

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

two-tailedleft-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: μ = 8.3; H₁: μ < 8.3H_o: μ ≠ 8.3; H₁: μ = 8.3    H_o: μ = 8.3; H₁: μ > 8.3H_o: μ = 8.3; H₁: μ ≠ 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?

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

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

two-tailedleft-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?

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

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

left-tailedright-tailed    two-tailed

Answer 1

A)

Claim is that u is less than 8.3

So, null and alternate hypothesis are

Ho : u = 8.3

H1 : u < 8.3

It is left tailed test

B)

Claim is that mean is different from 8.3

Ho : u = 8.3

H1 not equal to 8.3

It is two tailed test

C)

Claim.is u > 4.5

Ho : u = 4.5

H1 : u > 4.5

It is right tailed test

D)

Ho : u = 4.5

H1 : u not equal to 4.5

It is two tailed test