A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). I II III 49.9 55.3 39.3 43.4 25.1 37.1 32.2 41.3 10.9 27.5 29.8 32.5 38.2 39.5 15.4 36.8 42.2 20.1 Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies? Use a 10% level of significance.
A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars).
| I | II | III |
| 49.9 | 55.3 | 39.3 |
| 43.4 | 25.1 | 37.1 |
| 32.2 | 41.3 | 10.9 |
| 27.5 | 29.8 | 32.5 |
| 38.2 | 39.5 | 15.4 |
| 36.8 | 42.2 | |
| 20.1 |
Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the three types of companies? Use a 10% level of significance.
| SSTOT | = | ? |
| SSBET | = | ? |
| SSW | = | ? |
Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.)
| dfBET | = | ? |
| dfW | = | ? |
| MSBET | = | ? |
| MSW | = | ? |
Find the value of the sample F statistic. (Use 3 decimal places.)
What are the degrees of freedom?
?(numerator)
?(denominator)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
(f) Make a summary table for your ANOVA test.
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
MS | F Ratio |
P Value | Test Decision |
| Between groups | ? | ? | ? | ? | ? | Do not reject H0. |
| Within groups | ? | ? | ? | |||
| Total | ? | ? |
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