Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one) Z t (Chi square) F             The value of the test statistic: (Round to at least three decimal places.)   The two critical values at the  0.05  level of significance: (Round to at least three decimal places.) and At the 0.05 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 12 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)
1 306 496 -190
2 960 970 -10
3 765 579 186
4 398 251 147
5 835 848 -13
6 702 578 124
7 842 554 288
8 283 392 -109
9 285 305 -20
10 587 403 184
11 920 841 79
12 920 928 -8
Table 1

Based on these data, can the owner conclude, at the 0.05 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. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one) Z t (Chi square) F      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The two critical values at the 
0.05
 level of significance:
(Round to at least three decimal places.)
and
At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ?
 
Yes
 
 
No
 
 
 
 
 
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