Question

Suppose independent random samples of 16 unionized women and 18 nonunionized women in manufacturing have been selected and the following hourly wage rates are found.

Union Worker: 22.40, 16.50, 18.50, 16.70, 19.80, 14.05, 17.00, 18.90, 16.20, 14.30, 20.00, 17.20, 16.10, 17.30, 19.10 ,12.30

Nonunion Worker: 17.60, 15.90, 13.90, 14.40, 19.20, 14.50, 16.60, 11.85, 15.00, 16.45, 17.65, 1 4.20, 15.00, 15.30, 17.55, 17.00, 13.30, 15.10

a. What is the point estimate of the difference between hourly wages for the two populations?

b. Assume the populations have equal variances. What is the pooled estimate of the population variances?

c. Develop a 90% confidence interval estimate of the difference between the t wo populations?

d. Assume the populations have equal variances, use alpha = .01 and test for a difference in the means.

Answer 1