A local business owner has two stores, one located in the downtown core and one located at a mall in the north part of the city. The owner wants to study the average daily sales at the two locations because she believes the downtown location has higher sales figures than the mall location. In a sample of 55 days at the downtown location, the average daily sales was $48,000 with a standard deviation of $9,000. In a sample of 50 days at the mall location, the average daily sales was $45,500 with a standard deviation of $8,000. At the5% significance level, determine if the downtown location has higher average daily sales than the mall location.

• From options #1 to #4 select the correct hypotheses for this test.
• From options #5 to #8 select the correct p-value for this test.
• From options #9 to #12 select the correct conclusion for this test.

Let the downtown location be population 1 and the mall location be population 2. Complete the subtraction as population 1-population 2. If you use a t-distribution, use 103 for the degrees of freedom.

1. H0:1-2=0

Ha:1-2>0

2. H0:1-2=0

Ha:1-2<0

3. H0:1=2

Ha:1>2

4. H0:1-2=0

Ha:1-20

5. 0.0659

6. 0.0675

7. 0.1349

8. 0.1319

9. Based on the samples there is enough evidence to conclude that the downtown location has higher average daily sales than the mall location.

10. The downtown location has higher sales than the mall location.

11. Based on the samples there is not enough evidence to conclude that the downtown location has higher average daily sales than the mall location

12. There is no difference in the sales at the two locations.