#16
A random sample of companies in electric utilities (I),financial services (II), and food processing (III) gave thefollowing information regarding annual profits per employee (unitsin thousands of dollars).
| I | II | III |
| 49.5 | 55.1 | 39.1 |
| 43.5 | 25.3 | 37.2 |
| 32.9 | 41.1 | 10.9 |
| 27.9 | 29.5 | 32.6 |
| 38.1 | 39.4 | 15.5 |
| 36.2 | | 42.6 |
| 20.7 | | |
Shall we reject or not reject the claim that there is nodifference in population mean annual profits per employee in eachof the three types of companies? Use a 1% level ofsignificance.
(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 | | |
