Assume that simples of size n = 2 are randomly selected with replacement from th
ID: 3260130 • Letter: A
Question
Assume that simples of size n = 2 are randomly selected with replacement from this population of four values. After identifying the 16 different possible simples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. The mean of the sample means is 23.25. Is the mean of the sampling distribution equal to the mean of the population of the four listed values? No. the mean of the sample means is not equal to the mean of the population. These meant are not 1) always equal, because the mean k an unbiased estimator. Yes. the mean of the sample means is equal to the mean of the population. These meant are always 2) equal, because the mean is a biased estimator. No. the mean of the sample means is not equal to the mean of the population. These means are not 3) always equal, because the mean is a biased estimator. Yes, the mean of the sample means is equal to the mean of the population. These means are always 4) equal, because the mean k an unbiased estimator.Explanation / Answer
mean = sum of x * P(x)
= 30 * 1/16 + 28.5 * 2/16 + 27 * 1/16 + 24.5 * 2/16 + 23.5 * 2/16 + 23 * 2/16 + 22 * 2/16 + 19 * 1/6 + 18 * 2/16 + 17 * 1/16
= 23.25
4)
yes, the mean of sample means is equal to the mean of population. these means are not always equal because mean is a unbiased estimator