The table below shows the number of employees at the six fitness centers owned by Workouts International.

a. Show the six equally likely samples of size five that could be selected from this population. 

b. Calculate the mean number of employees for each of the six samples. 

c. Produce a table showing the relative frequency (or probability) distribution for these sample means and draw the corresponding bar chart. 

d. According to the distribution you produced in part c, if you were to choose a simple random sample of size five from this fitness center population, how likely is it that the sample mean number of employees would be 11? How likely is it that it would be 13 or fewer?

Transcribed Image Text:

Center A B C D EF No. of employees 5 10 15 10 15 20