Question

We determined there are 10 possible samples of n = 2 from a population of N = 4 numbers: 16, 18, 25, 28. We also found the sample means for these 10 samples to be 16, 17, 20.5, 22, 18, 21.5, 23, 25, 26.5, and 28. Thus, we know what values of x can occur when a sample of n = 2 is taken from this population and we know that each of the 10 possible random samples are equally likely to occur. In the sampling distribution table, one column lists the possible sample mean values and the second column lists the probability with which they occur. This probability is calculated as a relative frequency. Find the sampling distribution for the sample mean x and display it as a table. (Enter your probabilities as fractions.)

          We determined there are 10 possible samples of n = 2 from a population of N = 4 numbers: 16, 18, 25, 28. We also found the sample means for these 10 samples to be 16, 17, 20.5, 22, 18, 21.5, 23, 25, 26.5, and 28. Thus, we know what values of x can occur when a sample of n = 2 is taken from this population and we know that each of the 10 possible random samples are equally likely to occur.
In the sampling distribution table, one column lists the possible sample mean values and the second column lists the probability with which they occur. This probability is calculated as a relative frequency.
Find the sampling distribution for the sample mean x and display it as a table. (Enter your probabilities as fractions.)

Added by Melissa S.

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