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...

R2

Extracted 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.