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Download Math 13 Review Chapters 6-7 1) The heights of women in the US
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Math 13 Review Chapters 6-7 1) The heights of women in the US have a mean of 63.6 inches with a standard deviation of 2.5 inches. a) Find the probability that the height of a woman would be over 62 inches. b) Find the probability that the mean height of 7 women would be over 62 inches. c) Find the probability that the height of a woman would be between 61 inches and 68 inches. d) How tall would a woman need to be in order to be in the top7%? 2) An older Americans organization believes that a certain corporation is discriminating against the elderly in their hiring practices. They were able to obtain the ages of people hired in the last year. (a) 40 people hired x = 35 s = 4.5 90% CI _______________________________ (b) 40 people hired x = 35 s = 4.5 95% CI _______________________________ (c) 40 people hired x = 35 s = 4.5 99% CI _______________________________ (d) Describe what happens to the size of the confidence interval as the level of confidence increased. Why does this make sense? 3) A surgeon is trying to determine is a new procedure if as successful as the old method. The new method causes the patient less discomfort, but the old method is 92% successful. Consider the following test groups for the new procedure. (a) 30 patients, 27 successes 95% CI __________________________ (b) 40 patients, 36 successes 95% CI __________________________ (c) 87 patients, 81 successes 95% CI __________________________ (d) 143 patients, 130 successes 95% CI __________________________ Which of the four test groups should the doctor use for the report to the medical journals? WHY?? 4) Use the following facts gather about cigarette smokers and non-smokers to answer the questions. Smokers: Out of 485 smokers, 238 had been divorced. Non-smokers: Out of 1184 non-smokers, 374 had been divorced. a) Using a 98% Confidence Interval, test the claim that over 40% of smokers have been divorced. b) Using a 98% Confidence Interval, test the claim that exactly 40% of non-smokers have been divorced. c) What do the results of (1) and (2) indicate about smoking and divorce?
