Question

9. Elevator ride Engineers are people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have a mean of 194 pounds and standard deviation of 68 pounds and U.S. women have a mean of 164 pounds and a standard deviation of 77 pounds. designing a large elevator that will accommodate 40 a. If 40 people are on the elevator, and their total weight is 8120 pounds, what is their average weight? (2 points) m b. If a random sample of 40 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded? (5 points) Write the probability statement, label the curve, shade requested area, compute z, circle final answ Swer.

Answer 1

a) Average weight is

8120 203 40

b) A sample of 40 people will again be normally distributed with mean

68 194, /40

Probability that maximum safe weight will be exceeded is

X 194 203 194 P(40X 8120) P(X 203) 68 68 V40 40

Thus, we are looking for

P(40X 8120) = P(X> 203) = P (Z > 0.8371)0.7987

$\blacksquare$

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