Answer:
a) 150 pounds
b) 6.75
c) 156.25
d) 0.177
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 150 pounds
Standard Deviation, σ = 27 pounds
We are given that the distribution of weight of persons on campus is a bell shaped distribution that is a normal distribution.
a) expected value of the sample mean of their weights
b) standard deviation of the sampling distribution
c) average weight for these 16 people will result in the total weight exceeding the weight limit of 2500 points
d) P(sample of 16 persons on the elevator will exceed the weight limit)
Formula:
P(x > 156.25)
Calculation the value from standard normal z table, we have,
0.177 is the probability that a random sample of 16 persons on the elevator will exceed the weight limit.