The following information gives the number of days absent from work for a population of 5 workers at a small factory. Worker Number of Days Absent
A 5
B 7
C 1
D 4
E 8
a. Find the mean and the standard deviation for the population.
b. Samples of size 2 will be drawn from the population. Use the answers in part a to calculate the expected value and the standard deviation of the sampling distribution of the sample mean.
c. Find all the samples of 2 workers that can be extracted from this population. Choose the samples without replacement.
d. Compute the sample mean for each of the samples in Part c.
e. Graph the sample means with the values of on the horizontal axis and the corresponding relative frequency on the vertical axis