Suppose the mean height of women age 20 years or older in a certain country is 62.4 inches. One hundred randomly selected women in a certain city had a mean height of 63.6 inches. At the 5% significancelevel, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the nationalmean? Assume that the population standard deviation of the heights of women in the city is 4.2 inches.

Set up the hypotheses for theone-mean z-test.

H0:

Ha:

The test statistic is z=_____

(Round to two decimal places asneeded.)

Identify the criticalvalue(s). Select the correct choice below and fill in the answer box within your choice.

(Round to two decimal places asneeded.)

A.The critical valuesare z/2=______

B. The critical valueis z=______

C. The critical valueis z=____

(Reject/Do not reject) the null hypothesis. The data (provide/ do not provide) sufficient evidence to conclude that the average height of women in the city is (different from/ greater than/ the same as/ less than) the average height of women in the country.