One reason for being conservative when determining the number of degrees of freedom to use with the tdistribution is the possibility that the population variances might be unequal. Extremely different values cause a lowering in the number of df used. Repeat Exercise 10. 79 using theoretical normal distributions of N(100, 9) and N(120, 27) and both sample sizes of 8. Check all three properties of the sampling distribution: normality, its mean value, and its standard error. Describe in detail what you discover. Do you think we should be concerned about the choice of df? Explain.
Answer to relevant QuestionsUnbalanced sample sizes are a factor in determining the number of degrees of freedom for inferences about the difference between two means. Repeat Exercise 10. 79 using theoretical normal distributions of N(100, 20) and ...Calculate the maximum error of estimate for a 90% confidence interval for the difference between two proportions for the following cases: State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test these claims: a. There is no difference between the proportions of men and women who will vote for the incumbent in next ...State the null hypothesis Ho and the alternative hypothesis Ha that would be used to test the following statements. a. The four choices are all equally likely. b. The poll showed the political party distributions of 23%, ...Referring to the sample of 200 adults surveyed in Section 11. 1’s Cooling a Great Hot Taste and the accompanying “Putting Out the Fire” graphic: a. How do the sample percentages calculated in part c of Exercise 11. 1 ...
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