Question 138546: 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?
a. 1.645 and 1.70
b. 1.70 and 1.645
c. 1.70 and 1.895
d. 1.895 and 1.70
Answer by stanbon(75887)   (Show Source):
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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