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1. The salary of mayors in Canadas cities is reported to be normally distributed with mean $120,000 and standard deviation $12,121. To test this claim, 5 Canadian cities are selected at random and it is found that the average salary is $132,389. Test at = 0.05 whether the salary is different from the claim.

(a) Hypothesis test (Four steps)

(b) Construct a 95% confidence interval for the average salary of mayors in Canadas cities.

2. The average farm family size in Canada was reported to be normally distributed with an average of 3.2. A random sample of 24 farm families had an average of 3.8 and standard deviation of 1.43. Test at = 0.05 whether the average farm family size is actually higher than they claim.

(a) Hypothesis Test (Four steps)

(b) Construct a 95% confidence interval for the average farm family size in Canada.