The annual dividend rates for a random sample of 16 companies in three different industries, utilities, banking, and insurance were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE) was 3.36. The following table summarized the results: When comparing the mean annual dividend rate for companies in the utilities and insurance industries, which of the following 95% confidence interval can be constructed?
A) 5.78 ± 2.160 * 2.40
B) 5.78 ± 2.120 * 2.40
C) 5.78 ± 2.160 * 1.11
D) 5.78 ± 2.120 * 1.11

Question

The annual dividend rates for a random sample of 16 companies in three different industries, utilities, banking, and insurance were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE) was 3.36. The following table summarized the results:  When comparing the mean annual dividend rate for companies in the utilities and insurance industries, which of the following 95% confidence interval can be constructed?
A) 5.78 ± 2.160 * 2.40 
B) 5.78 ± 2.120 * 2.40 
C) 5.78 ± 2.160 * 1.11 
D) 5.78 ± 2.120 * 1.11

Quizplus · Accepted Answer

The Answer of The annual dividend rates for a random sample of 16 companies in three different industries, utilities, banking, and insurance were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE) was 3.36. The following table summarized the results:  When comparing the mean annual dividend rate for companies in the utilities and insurance industries, which of the following 95% confidence interval can be constructed?
A) 5.78 ± 2.160 * 2.40 
B) 5.78 ± 2.120 * 2.40 
C) 5.78 ± 2.160 * 1.11 
D) 5.78 ± 2.120 * 1.11

The Annual Dividend Rates for a Random Sample of 16