Question

QUESTION #1:

The data to the right show the average monthly utility bills for a random sample of households in City A and for a random sample of households in City B.			City A	City B
		Sample mean	​$358.41	​$386.55
		Sample size	​33	​39
		Population standard deviation	0$47	​$51

a. a. Identify the null and alternative hypotheses. Let population 1 = monthly utility bills from City A and let population 2 = monthly

utility bills from City B.

b. what is the test statistic?

c. determine the critical values.

d. answer the following statement: Since the test statistic ____________ in the rejection​ region __________ H0. There is _______________ evidence to conclude that the mean of population 1 is different from the mean of population 2.

e. calculate the p value.

f. interpret the results: Since the​ p-value is ___________ α​, ________H0. There is ___________evidence to conclude that the mean of population 1 is different from the mean of population 2.

QUESTION #2:

Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession.​ Women, on the other​ hand, are typically employed in services which are considered more recession resistant. A sample of 180 men and a sample of 140 women were drawn. In those​ samples, 17 men were​ unemployed, and 12 of the women were unemployed. Complete parts below.

a.) Perform a hypothesis test using alphaαequals=0.05 to determine if the unemployment rate for men is higher than the rate for women. Let population 1 be men and population 2 be women. What are the correct null and alternative​ hypotheses?

b.) what is the test statistic?

c.) what are the critical values?

d.) interpret the result.

e.) find the p value

f.) interpret the results after the p value.

Answer 1