Question 1171004
Let's break down each question:

**1. Levene's Test and ANOVA Choice:**

* **Levene's Test** checks for the homogeneity of variances (whether the variances of the groups are equal).
* A p-value of 0.069 indicates that the variances are not significantly different at the 0.05 level (since 0.069 > 0.05). Therefore, you do not need to use a test that deals with unequal variances.
* **ANOVA - F** is the standard test when variances are assumed to be equal.
* **Welch's test** is used when variances are unequal.
* **Games-Howell** is a post-hoc test used when variances are unequal.
* **Bonferroni** is a post-hoc test used when variances are assumed to be equal.

**Therefore, the correct answer is d. ANOVA - F. You are incorrect.**

**2. Alternative Hypothesis in Oneway ANOVA:**

* **H0 (Null Hypothesis):** All group means are equal (e.g., µ1 = µ2 = µ3).
* **H1 (Alternative Hypothesis):** At least one group mean is different.

* Option e. "H1 : Not all means are equal" accurately reflects this.
* Option d. "H1 : µ1 ≠ µ2 ≠ µ3" is too restrictive. It implies that *every* mean is different from *every* other mean, which isn't necessary for the alternative hypothesis to be true.

**Therefore, the correct answer is e. You are correct.**

**3. Levene's Test and ANOVA Conclusion:**

* A p-value of 0.032 for Levene's Test indicates that the variances are significantly different at the 0.05 level (since 0.032 < 0.05).
* This violates the assumption of homogeneity of variances required for a standard ANOVA.
* If the assumption of homogeneity of variance is violated, then the researchers should not trust the results of the standard anova F test.
* Therefore, the researchers cannot conclude that there is a significant difference in sentence length across different offense types using the standard anova F test.

**Therefore, the correct answer is b. No. You are incorrect.**