?In Exercises 11–14, use the population of {34, 36, 41, 51} of the amounts of caffeine
Chapter 6, Problem 11(choose chapter or problem)
In Exercises 11–14, use the population of {34, 36, 41, 51} of the amounts of caffeine (mg , 12 oz ) in Coca-Cola Zero, Diet Pepsi, Dr Pepper, and Mellow Yello Zero. Assume that random samples of size n = 2 are selected with replacement.
Sampling Distribution of the Sample Mean
a. After identifying the 16 different possible samples, find the mean of each sample, then construct a table representing the sampling distribution of the sample mean. In the table, combine values of the sample mean that are the same. (Hint: See Table 6-3 in Example 2 on page 258.)
b. Compare the mean of the population 534, 36, 41, 516 to the mean of the sampling distribution of the sample mean.
c. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? Why or why not?
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