17. (10 points Men\'s heights are normally distributed with a mean of 69.0 in an

Question

17. (10 points Men's heights are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in What percentage of men are too tall to fit in a standard casket that has an inside length of 78 in. a. b. b) What inside length would fit all men except thetal lest 1%? 18. (15 points) For women aged 18-24, systolic blood pressures are normally distributed with mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. hypertension is defined as systolic blood pressure above 140. a. If a woman (18- 24) is randomly selected, find the probability that her systolic blood pressure is larger than 140. If 4 woman (18 - 24) are randomly selected, find the probability that their mean systolic blood pressure is larger than 140 b.

Explanation / Answer

17)

=0.07%

b) for largest 1% ; z score =2.3263

hence corresponding height =mean+z*Std deviaiton =75.5 in

18)a)

b)

for normal distribution z score =(X-)/

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