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: Based on the comparison between the mean annual dividend rate for companies in utilities and banking, the 95% confidence interval shows an interval of 1.28 to 6.28 for the difference. This result indicates that _____________________.
A) there is no significant difference between the two rates
B) the interval contains a difference of 5.00
C) the annual dividend rate in the utilities industry is significantly less than the annual dividend rate in the banking industry
D) the annual dividend rate in the banking industry is significantly less than the annual dividend rate in the utilities industry

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:  Based on the comparison between the mean annual dividend rate for companies in utilities and banking, the 95% confidence interval shows an interval of 1.28 to 6.28 for the difference. This result indicates that _____________________.
A) there is no significant difference between the two rates 
B) the interval contains a difference of 5.00 
C) the annual dividend rate in the utilities industry is significantly less than the annual dividend rate in the banking industry 
D) the annual dividend rate in the banking industry is significantly less than the annual dividend rate in the utilities industry

Quizplus · Accepted Answer

The confidence interval shows that the annual dividend rate in the utilities industry is significantly less than the annual dividend rate in the banking industry, as the interval does not include 0 or any positive value. B is not correct because the interval does not necessarily contain a difference of exactly 5.00, although it is a possibility. A and D are also not correct based on the confidence interval result.

The Annual Dividend Rates for a Random Sample of 16