The developer in Exercise 1 hires an assistant to collect a random sample of houses from each neighborhood and finds that the summary statistics for the two neighbor- hoods look as follows:
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Neighborhood 1
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Neighborhood 2
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n1 = 30
y1 = 57.2 yrs
s1 = 7.51 yrs
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n2 = 35
y2 = 47.6 yrs
s2 = 7.85 yrs
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a) Find the estimated mean age difference between the two neighborhoods.
b) Find the standard error of the estimated mean difference.
c) Calculate the t-statistic for the observed difference in mean ages assuming that the true mean difference is 0.