The life span (days) of three genotypes of fruit flies was measured for both males and females. Some calculations are presented below to test for significant differences in life span among genotypes (factor A), between sexes (factor B), and test for a genotype-sex interaction. Use a 5% level of significance for each test. Two-Factor ANOVA Source DF MS Genotype 454.01 Sex 73.30 2 Interaction 670.20 6. Error 1000.20 36 Total 2197.71 47 What is your conclusion regarding the effects of the sexes on the life span of fruit flies? Hint' this question is asking you to choose a conclusion for a single factor anty Vou do ret have te M aut the entire table O The sexes have a significant etffect on the results of the Two-factor ANOVA O There is a signifhcant effect due to the sex of fruit flies O There is no etfect due to the sex of fruit flies

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**Title:** Analyzing the Life Span of Fruit Flies Using Two-Factor ANOVA

**Description:**
The life span (days) of three genotypes of fruit flies was measured for both males and females. Some calculations are presented below to test for significant differences in life span among genotypes (factor A), between sexes (factor B), and to check for a genotype-sex interaction. A 5% level of significance was used for each test.

**Table:** Two-Factor ANOVA

| Source       | SS     | DF | MS  | F  |
|--------------|--------|----|-----|----|
| Genotype     | 454.01 | 3  |     |    |
| Sex          | 73.30  | 2  |     |    |
| Interaction  | 670.20 | 6  |     |    |
| Error        | 1000.20| 36 |     |    |
| Total        | 2197.71| 47 |     |    |

**Question:**
What is your conclusion regarding the effects of the sexes on the life span of fruit flies?

**Hint:**
This question is asking you to choose a conclusion for a single factor only. You do not have to fill out the entire table.

**Options:**
- A) The sexes have a significant effect on the results of the Two-factor ANOVA.
- B) There is a significant effect due to the sex of fruit flies.
- C) There is no effect due to the sex of fruit flies.

**Explanation of Table:**
The table presents the results of a Two-Factor ANOVA analysis. It includes:
- **Source:** Different factors being examined (Genotype, Sex, Interaction, Error, Total).
- **SS (Sum of Squares):** Variability in data due to each source.
- **DF (Degrees of Freedom):** The number of values that are free to vary for each source.
- **MS (Mean Square):** Not calculated in this table but is the SS divided by its respective DF for further analysis.
- **F (F-statistic):** Not calculated in this table but used to determine significance of each source's effect.

Choosing the correct conclusion requires understanding how the sex factor influences the variability in fruit fly life span.
Transcribed Image Text:### Transcription of Image for Educational Website: **Title:** Analyzing the Life Span of Fruit Flies Using Two-Factor ANOVA **Description:** The life span (days) of three genotypes of fruit flies was measured for both males and females. Some calculations are presented below to test for significant differences in life span among genotypes (factor A), between sexes (factor B), and to check for a genotype-sex interaction. A 5% level of significance was used for each test. **Table:** Two-Factor ANOVA | Source | SS | DF | MS | F | |--------------|--------|----|-----|----| | Genotype | 454.01 | 3 | | | | Sex | 73.30 | 2 | | | | Interaction | 670.20 | 6 | | | | Error | 1000.20| 36 | | | | Total | 2197.71| 47 | | | **Question:** What is your conclusion regarding the effects of the sexes on the life span of fruit flies? **Hint:** This question is asking you to choose a conclusion for a single factor only. You do not have to fill out the entire table. **Options:** - A) The sexes have a significant effect on the results of the Two-factor ANOVA. - B) There is a significant effect due to the sex of fruit flies. - C) There is no effect due to the sex of fruit flies. **Explanation of Table:** The table presents the results of a Two-Factor ANOVA analysis. It includes: - **Source:** Different factors being examined (Genotype, Sex, Interaction, Error, Total). - **SS (Sum of Squares):** Variability in data due to each source. - **DF (Degrees of Freedom):** The number of values that are free to vary for each source. - **MS (Mean Square):** Not calculated in this table but is the SS divided by its respective DF for further analysis. - **F (F-statistic):** Not calculated in this table but used to determine significance of each source's effect. Choosing the correct conclusion requires understanding how the sex factor influences the variability in fruit fly life span.
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