Question

Suppose the mean height of women age 20 years or older in a certain country is 62.6 inches. One hundred randomly selected women in a certain city had a mean height o 61.0 inches. At the 5% significance level do the data provide sufficient evidence to conclude that the mean he t o wormer c differs rom the national mean? Assume that the population standard deviation of the heights of women in the city is 4.3 inches sgncan fwomen in the city is Set up the hypotheses for the one-mean z-test. Ho: μ Ha: μ The test statistic is z- (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice (Round to two decimal places as needed.) O A. The critical value is Zu OB. The critical values are tz/2t OC. The critical value is -u- Vthe null hypothesis. The data sufficient evidence to conclude that the average height of women in the city is the average height of women in the country

ill in the blank is 1. reject/do not reject 2. provide/does not provide and 3. less than, the same as, greater than, different from

Answer 1

Ans. Here the problem of testing is two sided, so that we use the absolute value of test statistic and therefore the critical value of z is taken as 1.96 at 5% level of significance.