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 μ (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.)

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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 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.
Day
Store 1
Store 2
1
889
2
Difference
(Store 1 - Store 2)
Send data to calculator V
3
699 534
479 525 252
4
398
5
432
364 160
6
7
8
213 252 929
32 234 632
410 174 282 34 272 181 18 297
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 μ (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 H₁.
H:D
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
3
|x
5
0=0
*
X
a
S
2
00
OSO
O<O
Р
<o
G
010
ロマロ
O>O
Esp
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 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day Store 1 Store 2 1 889 2 Difference (Store 1 - Store 2) Send data to calculator V 3 699 534 479 525 252 4 398 5 432 364 160 6 7 8 213 252 929 32 234 632 410 174 282 34 272 181 18 297 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 μ (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 H₁. H:D 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 3 |x 5 0=0 * X a S 2 00 OSO O<O Р <o G 010 ロマロ O>O Esp
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