An investigator collected data from a random sample of 400 men and 600 women to determine if women spend on average more time doing housework then men. The mean hours of housework for men was 18.5 with a standard deviation of 12.5. The mean for women was 29.5 with a standard deviation of 13.8. Use a 5% level of significance to test the researchers’ question. Assume equal variances. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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An investigator collected data from a random sample of 400 men and 600 women to determine if women spend on average more time doing housework then men. The mean hours of housework for men was 18.5 with a standard deviation of 12.5. The mean for women was 29.5 with a standard deviation of 13.8. Use a 5% level of significance to test the researchers’ question. Assume equal variances. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work

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