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I need some help with this business statistics problem. thanks Screen Shot</h1><p class='abPRemoveTitle'> 2019-04-06 at 7.49.07 AM.png

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A manufacturer produces both a deluxe and a standard model of an automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow.
Model Price ($)
Model Price ($)
Retail Outlet
Deluxe Standard
Retail Outlet Deluxe Standard
H
39
27
5
40
30
39
29
6
39
35
m
46
35
35
29
38
31
a. The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a .05 level of significance and test that the mean difference between the prices of the two models is $10.
Develop the null and alternative hypotheses,
Ho = / d equal to 10
H a = / d not equal to 10
Calculate the value of the test statistic. If required enter negative values as negative numbers. (to 2 decimals).
-1.16
The p-value is | between .20 and .40
Can you conclude that the price differential is not equal to $10?
No
b.
What is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)? Use a t-table.
6.44
11.28

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