Discuss the below:
Q: The owner of a chain of mini-marktes wants to compare the saled performance of two her stores. Store 1 and Store 3. 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 elinimate such effects by making sure to record each stores' sales on the same sample of days. After choosing a random sample of 12 days, she records the sales for each store on these days, as shown in table
| Day |
Store 1 |
Store 2 |
Difference
(Store 1 - Store 2) |
| 1 |
415 |
602 |
-187 |
| 2 |
989 |
856 |
133 |
| 3 |
635 |
611 |
24 |
| 4 |
869 |
934 |
-65 |
| 5 |
266 |
466 |
-200 |
| 6 |
368 |
389 |
-21 |
| 7 |
552 |
784 |
-232 |
| 8 |
590 |
905 |
-315 |
| 9 |
907 |
874 |
33 |
| 10 |
404 |
486 |
-82 |
| 11 |
828 |
732 |
96 |
| 12 |
731 |
893 |
-162 |
Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of store 2 exceeds that of store 1?