Question 1125245
z=(xbar-mean)/sigma/sqrt(n)
=(158-162)/28/sqrt(15)
=-4/7.23
z>-0.55, which has a probability being overloaded of 0.7088
Samples of 15 men have an average weight of 162 with a sd of 7.23
Therefore, it is more likely than not that an elevator with 15 men will be overloaded.