Question

In: Statistics and Probability

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

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?

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?

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

left-tailed

right-tailed

Solutions

Expert Solution

Solution :

(a)

Ho: μ = 8.3; H1: μ < 8.3  

left-tailed

(b)

Ho: μ = 8.3; H1: μ ≠ 8.3

two-tailed

(c)

Ho: μ = 4.5; H1: μ > 4.5

right-tailed

(d)

Ho: μ = 4.5; H1: μ ≠ 4.5

two-tailed


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