#15
How productive are U.S. workers? One way to answer this questionis to study annual profits per employee. A random sample ofcompanies in computers (I), aerospace (II), heavy equipment (III),and broadcasting (IV) gave the following data regarding annualprofits per employee (units in thousands of dollars).
| I | II | III | IV |
| 27.3 | 13.2 | 22.7 | 17.9 |
| 23.4 | 9.2 | 20.4 | 16.9 |
| 14.3 | 11.5 | 7.2 | 14.8 |
| 8.4 | 8.2 | 12.7 | 15.1 |
| 11.8 | 6.5 | 7.0 | 10.2 |
| 19.8 | | 9.8 |
(b) Find SSTOT, SSBET, andSSW and check that SSTOT =SSBET + SSW. (Use 3 decimal places.)
Find d.f.BET, d.f.W,MSBET, and MSW. (Use 3 decimalplaces for MSBET, andMSW.)
Find the value of the sample F statistic. (Use 3 decimalplaces.)
What are the degrees of freedom?
(numerator)
(denominator)
(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 | | | | | NA | NA |
| Within groups | | | | | | |
| Total | | | |
