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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

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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). Complete parts a through e below. Click the icon to view the data table. e sample means for each neighborhood. y1 = 52 years y2 = 45 years (Type integers or decimals.) b) Find the estimated difference of the mean ages of the two neighborhoods, y, - y2. The estimated difference is 7 years. (Type an integer or a decimal.) c) Find the sample variances for each neighborhood. S- = 68 s? = 104.8 (Type integers or decimals.) d) Find the sample standard deviations for each neighborhood. Sy = 8.25 years $2 = 10.24 years (Round to two decimal places as needed.) e) Find the standard error of the difference of the two sample means. SE (y1 - y2) = 5.37 years Round to two decimal places as needed.)X Data table Neighborhood Neighborhood 2 58 36 56 35 46 39 65 49 59 54 52 57

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