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 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 12 Store 1 916 302 599 283 876 584 769 975 701 499 746 592 Store 2 745 336 606 490 864 353 500 899 488 607 783 519 Difference 171 - 34 -7 - 207 12 231 269 76 213 - 108 – 37 73 (Store 1- Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u, (which is u 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 normally distributed.

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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 12 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
7
8
9
10
11
12
916 302
599
283
876
584
769
975
701
499
746
592
Store 1
Store 2
745
336
606
490
864
353
500
899
488
607
783
519
Difference
171
- 34
-7
- 207
12
231
269
76
213
– 108
- 37
73
(Store 1 - Store 2)
Send data to calculator
Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by
performing a hypothesis test regarding u, (which is u 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 normally distributed.
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.)
(a) State the null hypothesis H, and the alternative hypothesis H, .
0.
Transcribed Image Text: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 12 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 7 8 9 10 11 12 916 302 599 283 876 584 769 975 701 499 746 592 Store 1 Store 2 745 336 606 490 864 353 500 899 488 607 783 519 Difference 171 - 34 -7 - 207 12 231 269 76 213 – 108 - 37 73 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u, (which is u 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 normally distributed. 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.) (a) State the null hypothesis H, and the alternative hypothesis H, . 0.
(a) State the null hypothesis H, and the alternative hypothesis H .
H, :0
H :
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
D=0
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(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 ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H . H, :0 H : (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) D=0 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (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 ONo
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