An interval estimate for a mean is more informative than a point estimate, because with an interval estimate you can figure out the point estimate, but with the point estimate alone you have no idea how wide the interval estimate is. Explain why this statement is correct, illustrating using the reported 95% confidence interval of (4.0, 5.6) for the mean number of dates in the previous month based on a sample of women at a particular college.
Answer to relevant QuestionsWhy confidence intervals wider are when we use larger confidence levels but narrower when we use larger sample sizes, other things being equal? For many years, the General Social Survey has asked respondents whether they favor the death penalty for persons convicted of murder. Support has been quite high in the United States, one of few Western nations that ...When the GSS recently asked subjects whether it should or should not be the government’s responsibility to impose strict laws to make industry do less damage to the environment (variable GRNLAWS), 1403 of 1497 subjects ...In the previous exercise, suppose the same proportions resulted from n = 140 (instead of 1400), with counts 66 and 74. a. Now does a 95% confidence interval allow you to predict the winner? Explain. b. Explain why the same ...For the question about e-mail in the previous exercise, suppose seven females in the GSS sample of age at least 80 had the responses 0, 0, 1, 2, 5, 7, 14, a. Using software or a calculator, find the sample mean and standard ...
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