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 Table 1. Day Store 1 Store 2 Difference(Store 1 - Store 2) 1 310 204 106 2 982 903 79 3 861 921 -60 4 640 413 227 5 656 599 57 6 802 675 127 7 924 648 276 8 913 789 124 Table 1 Based on these data, can the owner conclude, at the  0.01  level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding  μd  (which is  μ  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. The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic:(Round to at least three decimal places.)   The two critical values at the  0.01  level of significance:(Round to at least three decimal places.) and At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ?   Yes     No

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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 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 Table 1.

Day Store 1 Store 2 Difference
(Store 1 - Store 2)
1 310 204 106
2 982 903 79
3 861 921 -60
4 640 413 227
5 656 599 57
6 802 675 127
7 924 648 276
8 913 789 124
Table 1

Based on these data, can the owner conclude, at the 

0.01

 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding 

μd

 (which is 

μ

 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.

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The two critical values at the 
0.01
 level of significance:
(Round to at least three decimal places.)
and
At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ?
 
Yes
 
 
No
 
 
 
 
 
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