# 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 Median Repeat Exercise 11 using medians instead of means.

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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 Median Repeat Exercise 11 using medians instead of means.

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Step 1

a)

The two values are randomly selected with replacement from the population {34, 36, 41, 51}, the 16 different possible samples are {(34, 34), (34,36), (34, 41), (34, 51), (36, 34), (36, 36), (36, 41), (36, 51), (41, 34), (41, 36), (41, 41), (41, 51), (51, 34), (51, 36), (51, 41), (51, 51)}.

Step 2

Here, the equally16 samples are likely with the probability of 1/16.

The formula to find the sample median is,

Step 3

Similarly, the sample median for the samples of ...

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