Question

Asked Apr 10, 2019

1 Rating

Step 1

**Sample means:**

The following table lists the possible samples with replacement, from the four given observations, along with the sample mean for each sample:

Step 2

**Sampling distribution:**

Observe that, there are a total of 16 possible samples. In the 16 samples, the mean 28.5 occurs 2 times. So, the probability of 28.5 is 2/16 = 1/8.

Similarly, each of the means 23.5, 22.5, 20, 19 and 14 occurs 2 times in 16 samples, so that the probability of getting each of these means is 1/8.

Thus, there are 6 cases of probability 1/8.

Now, each of the means 32, 25, 15 and 13 occur once each, in the 16 ...

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