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The family incomes in a certain city in 1970 had a mean of $14,200 with a...

The family incomes in a certain city in 1970 had a mean of $14,200 with a standard deviation of $2,600. A random sample of 75 families taken in 1975 produced y=$15,300

a). Assume sigma has remained unchanged and test to see whether mean income has changed using a 0.05 level of significance.

b). Construct a 99% confidence interval on mean family income in 1975.

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