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:
Utilities Banking Insurance
Number Sampled 5 5 6
Mean Annual Dividend Rate 11.62 15.4 17.4
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 _______.

Multiple Choice

A. the annual dividend rate in the utilities industry is significantly less than the annual dividend rate in the banking industry

B. the annual dividend rate in the banking industry is significantly less than the annual dividend rate in the utilities industry

C. there is no significant difference between the two rates

D. the interval contains a difference of 5.00

Answer 1

Based on the information given, the results show that A.The annual dividend rate in the utility industry is significantly less than the annual dividend rate in the banking industry.

A dividend rate simply means a financial ratio that is important as it shows how much a company pays out in dividends every year relative to the stock price of the company.

In this case,  the 95% confidence interval shows an interval of 1.28 to 6.28 for the difference. This implies that the annual dividend rate in the utilities industry is significantly less than the annual dividend rate in the banking industry.

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