Question

A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 183 lb and a standard deviation or 35 lb. You need to design an elevator that will safely carry 13 people. Assuming a worst case scenario of 13 male passengers, find the maximum total allowable weight if we want to a 0.999 probability that this maximum will not be exceeded when 13 males are randomly selected.

maximum weight = -lb

Enter your answer rounded to the nearest whole number. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answer 1