The following information gives the number of days absent from work for a population of 5 workers at a small factory.
Worker----- # 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 sizes of 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 the population. Choose the samples without replacement.
d. Compute the sample mean X bar for each of the samples in Part c.
e. Graph the sample means with the value of X bar on the horizontal axis and the corresponding relative frequency on the vertical axis.