A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. The accompanyi table shows the data for each sample (in years). Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below. E Click the icon to view the data table. a) Find a 95% confidence interval for the mean difference, p, -H2, in ages of houses in the two neighborhoods. Data Table (OD (Round to two decimal places as needed.) b) Is O within the confidence interval? Neighborhood 1 Neighborhood 2 Yes 66 47 No 55 44 47 48 57 52 c) What does the confidence interval suggest about the null hypothesis that the mean difference is 0? 68 33 43 58 O A. Fail to reject Ho since 0 is a plausible value for the true mean difference. O B. Reject H, since 0 is not a plausible value for the true mean difference. Print Done O c. Fail to reject Ho since 0 is not a plausible value for the true mean difference. O D. Reject Ho since 0 is a plausible value for the true mean difference.

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ISBN:9781119256830
Author:Amos Gilat
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A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. The accompanying
table shows the data for each sample (in years). Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below.
Click the icon to view the data table.
a) Find a 95% confidence interval for the mean difference, µ, - µ2,
in ages of houses in the two neighborhoods.
i
Data Table
(Round to two decimal places as needed.)
b) Is 0 within the confidence interval?
Neighborhood 1
Neighborhood 2
Yes
66
47
55
44
O No
47
48
57
52
c) What does the confidence interval suggest about the null hypothesis that the mean difference is 0?
68
33
43
58
O A. Fail to reject H, since 0 is a plausible value for the true mean difference.
B. Reject Ho since 0 is not a plausible value for the true mean difference.
Print
Done
C. Fail to reject H, since 0 is not a plausible value for the true mean difference.
D. Reject Ho since 0 is a plausible value for the true mean difference.
Transcribed Image Text:A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. The accompanying table shows the data for each sample (in years). Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below. Click the icon to view the data table. a) Find a 95% confidence interval for the mean difference, µ, - µ2, in ages of houses in the two neighborhoods. i Data Table (Round to two decimal places as needed.) b) Is 0 within the confidence interval? Neighborhood 1 Neighborhood 2 Yes 66 47 55 44 O No 47 48 57 52 c) What does the confidence interval suggest about the null hypothesis that the mean difference is 0? 68 33 43 58 O A. Fail to reject H, since 0 is a plausible value for the true mean difference. B. Reject Ho since 0 is not a plausible value for the true mean difference. Print Done C. Fail to reject H, since 0 is not a plausible value for the true mean difference. D. Reject Ho since 0 is a plausible value for the true mean difference.
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