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In Exercises 520, assume that the two samples are
Chapter 9, Problem 8(choose chapter or problem)
In Exercises 520, assume that the two samples are independent simple random samplesselected from normally distributed populations, and do not assume that the populationstandard deviations are equal. Do the following:a. Test the given claim using the P-value method or critical value method.b. Construct a confidence interval suitable for testing the given claim. Do Men Talk Less Than Women? The accompanying table gives results from a studyof the words spoken in a day by men and women, and the original data are in Data Set 17in Appendix B (based on Are Women Really More Talkative Than Men? by Mehl et al.,Science, Vol. 317, No. 5834). Use a 0.01 significance level to test the claim that the meannumber of words spoken in a day by men is less than that for women. Table for Exercise 8Men Womenn1 = 186 n2 = 210x1 = 15,668.5 x2 = 16,215.0s1 = 8632.5 s2 = 7301.2
Questions & Answers
QUESTION:
In Exercises 520, assume that the two samples are independent simple random samplesselected from normally distributed populations, and do not assume that the populationstandard deviations are equal. Do the following:a. Test the given claim using the P-value method or critical value method.b. Construct a confidence interval suitable for testing the given claim. Do Men Talk Less Than Women? The accompanying table gives results from a studyof the words spoken in a day by men and women, and the original data are in Data Set 17in Appendix B (based on Are Women Really More Talkative Than Men? by Mehl et al.,Science, Vol. 317, No. 5834). Use a 0.01 significance level to test the claim that the meannumber of words spoken in a day by men is less than that for women. Table for Exercise 8Men Womenn1 = 186 n2 = 210x1 = 15,668.5 x2 = 16,215.0s1 = 8632.5 s2 = 7301.2
ANSWER:Step 1 of 4
The data given is
Number of samples in Men group=
degrees of freedom:
Mean:
Standard deviation=
Number of samples in women group:
degrees of freedom:
Mean:
Standard deviation
We will take the smallest number among the two degrees of freedom as the degrees of freedom for the test.