Question

Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by σ =29 lb.

b) If 4 women are randomly selected, find the probability that they have a mean weight above 176
c) If 57 women are randomly selected, find the probability that they have a mean weight above 176

Answer 1

b) P(mean weight > 176) = 1 - P(mean weight ≤ 176) = 1 - 0.9332 = 0.0668

c) P(mean weight > 176) = 1 - P(mean weight ≤ 176) = 1 - 0.9997 = 0.0003