(a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. Type of test statistic: ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) and (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. 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
days, chosen at random. 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
|
|---|---|---|---|---|---|---|---|---|
| Store 1 |
889
|
699
|
534
|
398
|
432
|
213
|
252
|
929
|
| Store 2 |
479
|
525
|
252
|
364
|
160
|
32
|
234
|
632
|
| Difference (Store 1 - Store 2) |
410
|
174
|
282
|
34
|
272
|
181
|
18
|
297
|
|
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Based on these data, can the owner conclude, at the
level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding
(which is
with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is
Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.)
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