The weights of a population of workers have mean 167 and standard deviation 27. if a sample of 36 workers is chosen, approximate the probability that the sample mean of their weights lies between 163 and 170?

0.561 is the probability  that the sample mean of their weights lies between 163 and 170.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 167

Standard Deviation, σ = 27

Since the sample size is large, by central limit theorem the distribution of means is a normal distribution.

We are given that the distribution of weights of a population of workers is a bell shaped distribution that is a normal distribution.

Formula:

Standard error due to sampling:

P(weights lies between 163 and 170)

0.561 is the probability  that the sample mean of their weights lies between 163 and 170.

2? if not the correct answer you might need to provide more information

step-by-step explanation: