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A stock analyst wondered whether the mean rate of return of? financial, energy,

ID: 3366232 • Letter: A

Question

A stock analyst wondered whether the mean rate of return of? financial, energy, and utility stocks differed over the past 5 years. He obtained a simple random sample of eight companies from each of the three sectors and obtained the? 5-year rates of return shown in the accompanying table? (in percent). Complete parts? (a) through? (d) below.

Financial

Energy

Utilities

10.7310.73????

12.8912.89????

11.8811.88????

15.0515.05????

13.9113.91????

5.765.76????

17.0117.01????

6.436.43????

13.4613.46????

5.075.07????

11.1911.19????

9.829.82????

19.5919.59????

18.9318.93????

3.953.95????

8.168.16????

20.7320.73????

3.443.44????

10.4510.45????

9.609.60????

7.117.11????

6.756.75????

17.4017.40????

15.7015.70????

Are the mean rates of return different at the ?=0.05 level of? significance?

Use technology to find the? F-test statistic for this data set.

Upper F Fo = ?

?(Round to two decimal places as? needed.)

Financial

Energy

Utilities

10.7310.73????

12.8912.89????

11.8811.88????

15.0515.05????

13.9113.91????

5.765.76????

17.0117.01????

6.436.43????

13.4613.46????

5.075.07????

11.1911.19????

9.829.82????

19.5919.59????

18.9318.93????

3.953.95????

8.168.16????

20.7320.73????

3.443.44????

10.4510.45????

9.609.60????

7.117.11????

6.756.75????

17.4017.40????

15.7015.70????

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics


ANOVA table

Hence,

F - test statistic = 2.12

Column n Mean Std. Dev. Std. Error Financial 8 11.60125 5.1420825 1.8180007 Energy 8 13.885 4.8822302 1.726129 Utilities 8 8.89 4.537737 1.6043323
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