Using the following observed information, determine the critical F-value for each obsed F-test and interpret the results of each test. Degrees of Number of Number of Interpretation (reject Ho or retain Ho) Observed Alpha Critical groups subjects per freedom F-value (b, w) F-value level compared group 5.06 3 9,9,9 .05 4.00 6,5,6,8 .01 3.82 5 10,10,10,10,10 .01 3.00 6 9,9,5,8,9,9 .05 16.2 3 15,15,15 .05 1.96 5 20,20,18,16,15 .05 4.
Using the following observed information, determine the critical F-value for each obsed F-test and interpret the results of each test. Degrees of Number of Number of Interpretation (reject Ho or retain Ho) Observed Alpha Critical groups subjects per freedom F-value (b, w) F-value level compared group 5.06 3 9,9,9 .05 4.00 6,5,6,8 .01 3.82 5 10,10,10,10,10 .01 3.00 6 9,9,5,8,9,9 .05 16.2 3 15,15,15 .05 1.96 5 20,20,18,16,15 .05 4.
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Transcribed Image Text:**Table Title:** Using the following observed information, determine the critical F-value for each observed F-test and interpret the results of each test.
| Observed F-value | Number of groups compared | Number of subjects per group | Alpha level | Degrees of freedom (b, w) | Critical F-value | Interpretation (reject H₀ or retain H₀) |
|------------------|----------------------------|------------------------------|-------------|---------------------------|------------------|------------------------------------------|
| 5.06 | 3 | 9, 9, 9 | 0.05 | | | |
| 4.00 | 4 | 6, 5, 6, 8 | 0.01 | | | |
| 3.82 | 5 | 10, 10, 10, 10, 10 | 0.01 | | | |
| 3.00 | 6 | 9, 9, 5, 8, 9, 9 | 0.05 | | | |
| 16.2 | 3 | 15, 15, 15 | 0.05 | | | |
| 1.96 | 5 | 20, 20, 18, 16, 15 | 0.05 | | | |
**Explanation:**
This table presents data for statistical analysis using F-tests. Each row corresponds to a test that involves comparing multiple groups to determine if there are significant differences among them.
- **Observed F-value:** This is the calculated F-value from the data, which is compared against the critical F-value.
- **Number of groups compared:** The number of distinct groups being analyzed.
- **Number of subjects per group:** The sample size for each group.
- **Alpha level:** The significance level used in hypothesis testing, representing the probability of rejecting the null hypothesis when it is true.
- **Degrees of freedom (b, w):** The degrees of freedom between (b) groups and within (w) groups, which are necessary to find the critical F-value from statistical tables.
- **Critical F-value:** Not provided; needs to be determined from F-distribution tables based on the degrees of freedom and
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