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A developer wants to know if the houses in two different neighborhoods were built at roughly...

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.

Neighborhood 1 Neighborhood 2
49 55
55 548
50 53
61 54
64 44
45 58

​a) Find a 95% confidence interval for the mean​ difference, μ1−μ2​, in ages of houses in the two neighborhoods.

Math   Statistics-And-Probability   
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