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17. Is normal body temperature the same for men and women? Medical researchers interested in this question collected data from a large number of men
17. Is normal body temperature the same for men and women? Medical researchers interested in this question collected data from a large number of men and women. The sample statistics are summarized in the table. Assume that the body temperatures for both men and women are normally distributed. Find a 95% Condence interval for the difference in the mean body temperature of men and of women. [A] 0.03 i 2 - 0.54 [B] 0.03 J; 2 - 0.13 [(2) 0.24-_l' 2 - 0.54 [D] 0.24;|; 2 - 0.13 18. [Continuation] Would you conclude that the mean body temperatures are different between men and women? [A] The interval includes 0. We have 95% condence that there is no difference between women and men. [B] The interval includes 0. We have 95% condence that there is difference between women and men. [C] The interval does not include 0. We have 95% condence that there is no difference between women and men. [D] The interval does not include 0. We have 95% condence that there is difference between women and men. 19. [Continuation] What if the sample sizes for men and women were 15 and 10, respectively? Find a 95% Condence interval for the difference in the mean body temperature of men and of women in the form "estimate i margin of error." (A) 0.24 2': t33_0_975 '0.22 [B] 0.24 i 1,335 -0.13, where v is computed from Satterthwaite's approximation [C] 0.24 i 12,3375 -0.22, where v is computed from Satterthwaite's approximation [D] 0.24 i tv.0.9?5 - 3,, I 1L5 + 1% -U.22, where 55 is a pooled variance. 20. In a survey study to estimate the true proportion of the U.S. population uses public transportation, a total of 6284 commuters were asked if they use public transit to commute to work. The survey took place at various DART stations in the Dallas-Forth Worth metropolitan area. Based on this large sample, the survey eventually concluded that about 81% proportion of the U.S. population uses public transportation. Is this proportion (81%] an accurate estimate of the true proportion? [A] No, there is a selection bias. [B] No, the proportion is not close to 50%. [C] Yes, the sample size is large, by the law of average, the sample proportion is an accurate estimate of the true proportion. [D] Yes, the sample size is large, by the Central Limit Theorem, the sample proportion is an accurate estimate of the true pro portion
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