1. An investment company is interested in developing a model to predict dividends per share by U.S. companies. The company selects 30 companies at random and plans to use return on equity, earnings per share, and current ratio to make the prediction. a. Complete the table below:

Source SS DF MS F

Regression 13.2361

Residual

Total 20.4825

b. Based on the results from part a, what do you conclude (usea = .05) and why?

2.A company operates three shifts every day of the week. Each shift includes full-time hourly workers, non-supervisory salaried employees, and managers. The company would like to know if there is a difference among the shifts in terms of the number of hours missed due to employee illness. To control for differences that might exist across employee groups, the company randomly selects one employee from each employee group and shift and records the number of hours missed over the year.

Given the value of the test statistic is 25.12, what do you conclude (in terms of the problem) and why?Usea = .01.

3. A certain company operates automobile dealerships in six regions. The general manager questioned whether the mean profit margin per vehicle sold differed by region. A random sample of 5 vehicles sold in each region is selected and the profit margin of each vehicle is recorded.

Given the value of the test statistic is 2.52, what do you conclude (in terms of the problem)? Use = .05. What is the P-value of your test statistic?

4. A company is trying to improve productivity. It decides to implement a weekly interplant competition with a large monetary reward at the end of the time period. At the end of the competition, a manager is asked to determine whether or not there was a change in the productivity. The manager gathers the following data:

Units produced(plants combined) Before During

0-2,500 11 0

2,501-8,000 23 20

8,001-15,000 56 83

15,000-20,000 15 52

Based on the above data, what do you conclude at thea = .05 level of significance? What is the P-value of your test statistic?