This is Applications of Two-Sample Tests

Detailed calculation will be so helpful

?

A researcher wanted to know the mean age of children in his neighborhood, so he surveyed ten homes. the mean age of children that subdivision is greater than the mean age of children in the neighborhood closest to the elementary school; he collected a sample from 10 houses in that area as well. Use the data below to solve this hypothesis test at an a = 0.1 level of significance. Researcher's Neighborhood Neighborhood closest to school houses xbar houses xbar Sample 1 7 sample 1 4 sample2 7 sample 2 4 sample 3 7 sample 3 16 sample 4 12 sample 4 13 sample 5 13 sample 5 5 sample 6 12 sample 6 12 sample 7 5 sample 7 13 sample 8 17 sample 8 9 sample 9 15 sample 9 15 sample 10 sample 10 6