Answer:
We are supposed to find the probability that it is overloaded because they have a mean weight greater than 161 lb.
n = 10 males
P(X>161)
Formula :
Refer the z table
P(z<−0.3614)=0.6406
P(x>161)=1-P(x<161)=1-P(z<−0.3614)=1-0.6406=0.3594
The probability the elevator is overloaded is 0.3594
The elevator is safe since the probability of overload is less than 0.5