a. What is your p-value for your ANOVA test (found in the ANOVA Summary table)? 0.36 b. What does this p-value tell you regarding your null hypothesis (should you accept or reject the null and what does this mean)? c. When you ran this test, you should have seen that there were no Tukey HSD results in the box under "Tukey HSD Test". Why were there no post-hoc tests run after the ANOVA was run?

Human Anatomy & Physiology (11th Edition)
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Author:Elaine N. Marieb, Katja N. Hoehn
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Chapter1: The Human Body: An Orientation
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Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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a. Our null hypothesis is that there will be no differences in average bagworm numbers between any of the genera. b. Our alternate hypothesis is that the average number of bagworms of at least one genus will be different compared to the average number of bagworms of at least one other genus.
**9. Answer the following questions about your results (please always round to the nearest 100th place)**

a. What is your p-value for your ANOVA test (found in the ANOVA Summary table)?  
   **0.36**

b. What does this p-value tell you regarding your null hypothesis (should you accept or reject the null and what does this mean)?

c. When you ran this test, you should have seen that there were no Tukey HSD results in the box under “Tukey HSD Test”. Why were there no post-hoc tests run after the ANOVA was run?
Transcribed Image Text:**9. Answer the following questions about your results (please always round to the nearest 100th place)** a. What is your p-value for your ANOVA test (found in the ANOVA Summary table)? **0.36** b. What does this p-value tell you regarding your null hypothesis (should you accept or reject the null and what does this mean)? c. When you ran this test, you should have seen that there were no Tukey HSD results in the box under “Tukey HSD Test”. Why were there no post-hoc tests run after the ANOVA was run?
## Data Summary

|                        | Samples                                     |
|------------------------|---------------------------------------------|
|                        | 1       | 2       | 3       | 4       | 5       | Total   |
| N                      | 16      | 19      | 36      | 7       | 20      | 98      |
| ∑X                     | 411     | 1144    | 2186    | 339     |         | 4080    |
| Mean                   | 25.6875 | 60.2105 | 39.0357 | 48.4286 |         | 41.6327 |
| ∑X²                    | 25797   | 218748  | 238878  | 25387   |         | 508810  |
| Variance               | 1015.9625 | 8325.9532 | 2791.7424 | 1494.9524 | 3494.3173 |
| Std. Dev.              | 31.8742 | 91.2467 | 52.837  | 38.6646 |         | 59.1128 |
| Std. Err.              | 7.9685  | 20.9334 | 7.0606  | 14.6139 |         | 5.9713  |

## ANOVA Summary (Independent Samples k=4)

| Source                | SS        | df | MS       | F    | P        |
|-----------------------|-----------|----|----------|------|----------|
| Treatment [between groups] | 11326.5373 | 3  | 3775.5124 | 1.08 | 0.361483 |
| Error                 | 327622.2383 | 94 | 3485.343  |      |          |
| Ss/Bl                 |           |    |          |      |          |
| Total                 | 338948.7755 | 97 |          |      |          |

- **Note:** Ss/Bl = Subjects or Blocks depending on the design, applicable only to correlated-samples ANOVA.

## Tukey HSD Test

- **Conditions:** This test is performed only if k > 2 and the analysis of variance yields a significant F-ratio.
- **Formulas:** 
  - M
Transcribed Image Text:## Data Summary | | Samples | |------------------------|---------------------------------------------| | | 1 | 2 | 3 | 4 | 5 | Total | | N | 16 | 19 | 36 | 7 | 20 | 98 | | ∑X | 411 | 1144 | 2186 | 339 | | 4080 | | Mean | 25.6875 | 60.2105 | 39.0357 | 48.4286 | | 41.6327 | | ∑X² | 25797 | 218748 | 238878 | 25387 | | 508810 | | Variance | 1015.9625 | 8325.9532 | 2791.7424 | 1494.9524 | 3494.3173 | | Std. Dev. | 31.8742 | 91.2467 | 52.837 | 38.6646 | | 59.1128 | | Std. Err. | 7.9685 | 20.9334 | 7.0606 | 14.6139 | | 5.9713 | ## ANOVA Summary (Independent Samples k=4) | Source | SS | df | MS | F | P | |-----------------------|-----------|----|----------|------|----------| | Treatment [between groups] | 11326.5373 | 3 | 3775.5124 | 1.08 | 0.361483 | | Error | 327622.2383 | 94 | 3485.343 | | | | Ss/Bl | | | | | | | Total | 338948.7755 | 97 | | | | - **Note:** Ss/Bl = Subjects or Blocks depending on the design, applicable only to correlated-samples ANOVA. ## Tukey HSD Test - **Conditions:** This test is performed only if k > 2 and the analysis of variance yields a significant F-ratio. - **Formulas:** - M
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