Question

3 multiple choice 1 point which of the following is an assumption of anova? the dependent variable is a nominal level of measurement. independent random samples are used. the population variances are statistically significant. the population is not normally distributed.

Explanation:

To determine the correct assumption of ANOVA:

• The dependent variable in ANOVA should be at least interval - level (not nominal), so the first option is wrong.
• One of the key assumptions of ANOVA is that independent random samples are used, so the second option is correct.
• ANOVA assumes homogeneity of variance (population variances are equal, not necessarily statistically significant), so the third option is wrong.
• ANOVA assumes that populations are normally distributed, so the fourth option is wrong.

Answer:

B. Independent random samples are used. (Note: Here we assume the options are labeled as A, B, C, D with A being "The dependent variable is a nominal level of measurement", B being "Independent random samples are used", C being "The population variances are statistically significant", D being "The population is not normally distributed".)