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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 -- 5B --- 7C --- 1D --- 4E --- 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.
Precisely (that is, using specific numbers) what does the central limit theorem tell us about the sampling distribution of sample means for samples of this size from this population?
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