You can
put this solution on YOUR website!The weekly sales (in thousands of dollars) the week before and the week after a new Internet sales location is installed are given in the following table for 8 different businesses.
Sales Before Sales After
27 ------------ 32
35 ------------ 36
22 ------------ 23
13 ------------ 12
45 ------------ 48
55 ------------ 57
60 ------------ 58
18 ------------ 30
The alternative hypothesis is HA: d > 0, where d = sales after – sales before. For level of significance 0.10, what is the critical value and the value of the test statistic?
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You have 8 pairs so df=7
You have alpha = 10% on a one-tail t-test so critical value is t=1.415
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Comment: Since your HA is d>0 the implication is that you are conducting
a one-tail test. But your four optional answers imply that you are
conducting a two tail test.
If they want it to be two tail with df=7 and alpha=10%, the critical
values will be : +/-1.895. I think your text is confused.
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a. 1.645 and 1.70
b. 1.70 and 1.645
c. 1.70 and 1.895
d. 1.895 and 1.70
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Cheers,
Stan H.
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