a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimal places. c. Find the critical value at the 0.05 level of significance. Round to three or more decimal places. d. At the 0.05 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1?
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below.
| Day |
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|---|---|---|---|---|---|---|---|---|---|---|
| Store 1 |
343
|
995
|
277
|
790
|
391
|
571
|
703
|
263
|
840
|
788
|
| Store 2 |
563
|
1026
|
396
|
891
|
430
|
705
|
654
|
203
|
652
|
822
|
| Difference (Store 1 - Store 2) |
−220
|
−31
|
−119
|
−101
|
−39
|
−134
|
49
|
60
|
188
|
−34
|
Based on these data, can the owner conclude, at the 0.05 level of significance, that the
a. State the null hypothesis H0 and the alternative hypothesis H1.
b. Find the value of the test statistic. Round to three or more decimal places.
c. Find the critical value at the 0.05 level of significance. Round to three or more decimal places.
d. At the 0.05 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1?
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
