# Is there a difference in proportion?

10. The manager of a computer software company wishes to study the number of hours top executives spend at their computer terminals by type of industry. The manager selected a sample of five executives from each of three industries. At the .05 significance level, can she conclude there is a difference in the mean number of hours spent at a terminal per week by industry?

Banking Retail Insurance

12 8 10

10 8 8

10 6 6

12 8 8

10 10 10

11. Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.

Treatment 2 Treatment 1 Treatment3

8 3 3

11 2 4

10 1 5

3 4

2

a. State the null hypothesis and the alternate hypothesis.

b. What is the decision rule?

c. Compute SST, SSE, and SS total.

d. Complete an ANOVA table.

e. State your decision regarding the null hypothesis.

f. If H0 is rejected, can we conclude that treatment 1 and treatment 2 differ? Use the 95 percent level of confidence.

https://brainmass.com/statistics/hypothesis-testing/is-there-a-difference-in-proportion-40851

#### Solution Summary

This solution provides the step by step calculations in an attached Word document for the problems.