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  le

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(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
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 sample of
days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below.
Day
1
2
3
4
6 7
Store 1
667
809
879
390
275
479
850
892
Store 2
579
566
579
214
187
163
755
455
Difference
88
243
300
176
88
316
95
437
(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.)
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 sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 6 7 Store 1 667 809 879 390 275 479 850 892 Store 2 579 566 579 214 187 163 755 455 Difference 88 243 300 176 88 316 95 437 (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.)
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