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An investigation is conducted to determine if the mean age of welfare recipients differs between two...

An investigation is conducted to determine if the mean age of welfare recipients differs between two cities A and B. Random samples of 75 and 100 welfare recipients are selected from city A and city B, respectively, and the following computations are made:

City A City B
Mean 38 43
S.D. 6.8 7.5

(a) Do the data provide strong evidence that the mean ages are different in city A and city B? (Test at α = 0.02)

(b) Construct a 98% confidence interval for the different in mean ages between A and B.

(c) Construct a 98% confidence interval for the mean age for city A and city B individually.

Math   Statistics-And-Probability   
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