CW #7 013124 Tests of Two Population Variances

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Clemson University *

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Economics

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Feb 20, 2024

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A sample of 16 items from population 1 has a sample variance = 5.8 and a sample of 21 items from population 2 has a sample variance = 2.4. Test the following hypotheses at the 0.05 level of significance at the 0.05 level of significance. What is your decision/conclusion? Ho: Ha: F statistic p-value 2 2 1 2    2 2 1 2   

Ho: Ha: F statistic p-value Investors commonly use the standard deviation of the monthly percentage return for a mutual fund as a measure of the risk for the fund; in such cases, a fund that has a larger standard deviation is considered more risky than a fund with a lower standard deviation. The standard deviation for the American Century Equity Growth fund and the standard deviation for the Fidelity Growth Discovery fund were recently reported to be 15.0% and 18.9%, respectively. Assume that each of these standard deviations is based on a sample of 60 months of returns. Do the sample results support the conclusion that the Fidelity fund has a larger population variance than the American Century fund? Which fund is more risky? 2 2 1 2    2 2 1 2   

F statistic p-value On the basis of data provided by a Romac salary survey, the variance in annual salaries for senior partners in public accounting firms is approximately 2.1 and the variance in annual salaries for managers in public accounting firms is approximately 11.1. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 senior partners and 26 managers, test the hypothesis that the population variances in the salaries are equal. At a 0.05 level of significance, what is your conclusion? 2 2 0 1 2 : H    2 2 a 1 2 : H   

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