How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.3 13.2 22.6 17.4 23.9 9.1 20.7 16.2 14.9 11.1 7.3 14.4 8.9 8.9 12.9 15.3 11.5 6.1 7.1 10.2 19.2 9.9 Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the four types of companies? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)
How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars).
| I | II | III | IV |
| 27.3 | 13.2 | 22.6 | 17.4 |
| 23.9 | 9.1 | 20.7 | 16.2 |
| 14.9 | 11.1 | 7.3 | 14.4 |
| 8.9 | 8.9 | 12.9 | 15.3 |
| 11.5 | 6.1 | 7.1 | 10.2 |
| 19.2 | 9.9 |
Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the four types of companies? Use a 5% level of significance.
(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)
| 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)
Make a summary table for your ANOVA test.
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
MS | F Ratio |
||
| Between groups | ||||||
| Within groups | ||||||
| Total |
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