Question

Suppose we took samples of employees with 30 employees in each sample. If the average satisfaction level is .614 with a standard deviation of .254. a. What would be the shape of the sampling distribution if we took these samples over and over again and recorded the means of each sample mean? b. What would be the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution?

Answer 1

Basically, what the question is trying to say is there is a population of employees. In that the population mean of satisfaction level is 0.614 and standard deviation of satisfaction level is 0.254. Different samples of size 30 each are taken and now their means and SD is calculated. After that the mean of all those means and SD of all those SD is calculated.

a) the sampling distribution would be a bell curve of normal distribution

b) mean of sampling distribution is the same of population mean which is 0.614

c) SD of sampling distribution is ( pop SD / root of sample size )

= 0.254/(root 30) = 0.046