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The selling prices (in $) for the deluxe and standard model Ryobi wood sanders a

ID: 3182806 • Letter: T

Question

The selling prices (in $) for the deluxe and standard model Ryobi wood sanders are shown for a sample of eight retail stores. Does the data suggest the difference in average selling price of these Ryobi is more than $10 at a=0.01?

22

For the hypothesis stated above (in terms of Deluxe - Standard):

Question 1. What is the test statistic ______

Question 2. What is the conclusion? (TISETC or TINSETC)

(< , > , or =) ______

Question 3. What is the p-value? Fill in only one of the following statements.

If the Z table is appropriate, p-value = _______

If the t table is appropriate, ______ < p-value < _______

Retail Store Deluxe Standard 1 42 29 2 41 29 3 42 29 4 36 24 5 37 26 6 31 20 7 33 20 8 32

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Explanation / Answer

1) test stat =4.7099

conclusion Deluxe - Standard>0

p vlaue=0.0008

for z table ; p vlaue =0.000001

Deluxe Standard difference(d) 42 29 13 41 29 12 42 29 13 36 24 12 37 26 11 31 20 11 33 20 13 32 22 10 mean 11.875 std deviaition 1.1260 std error= std dev/(n)^(1/2) 0.3981 t stat= (d-10)/std error 4.7099 p value = 0.0008
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