Question

Engineers are designing a large pedestrian bridge that will accommodate 50 people. The max weight the bridge can hold safely is 10,500 pounds. According to the National Health Statistics Reports, the weights of adult US men have a mean of 194 pounds and standard deviation of 68 pounds and US women have a mean of 164 pounds and a standard deviation of 77 pounds.  

a. If 50 people are on the bridge, and their total weight is 10,500 pounds, what is their average weight?

b. IF a random sample of 50 adult women walk on the bridge, what is the probability that the max safe weight will be exceeded? Write the probability statement, label the curve, shade requested area, compute z, circle final answer.

Answer 1