Please help, thank you! The selling prices (in $) for the deluxe and standard mo

Question

Please help, thank you!

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 models is more than $10 at =0.1? (See exercise 27 on page 458 of your textbook for a similar problem.) 45 39 31 40 35 38 30 38 Standard 32 28 18 28 23 26 19 25 the hypothesis stated above (in terms of Deluxe Standard) Question 1 What is the test statistic Question 2 What is the conclusion? Deluxe-ustandard What is the p-value? Fill in only one of the following statements. If the Z table is appropriate, If the t table is appropriate, Question 3 p-value p-value

Explanation / Answer

question 1

H0 : deluxe - standard  = $ 10

Ha : deluxe - standard   > $ 10

we wil use paired t - test for two sample here

Sample mean of difference Xd = 12.125

Stanard deviation of difference sd = 0.8345

Test statistic

t = (Xd - 10 )/ (sd/ sqrt(n) = (12.125 - 10)/ (0.8345/ sqrt(8) = 2.125/ 0.295 = 7.20

Question 2

Here the conclusion is as t > tcritical where dF = 7 and alpha = 0.10

tcr = 1.4149

Question 3 . T table is appropriate and p - value is in between 0 and 0.0001

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