Answer to Question #191359 in Statistics and Probability for MarielAnn Villalin

Question

Random samples of size n=3 are drawn of a finite population consisting of the numbers 5, 6, 7, 8, and 9.

a. How possible samples are there?

b. List all the possible samples and the corresponding mean for each sample.

c. Construct and Sampling distribution of the sample means.

d. Construct the histogram for the sampling distribution of the sample mean.                   Describe the shape of the histogram.

Answer 1

(a) The total number of sample possible are 9.

(b) The samples and their respective mean are displayed in the table.

(c) The sampling distribution is shown in the table below-

The sapling distribution of the sample means is shown in the bar graph below, Where y-axis represent Probability of sample mean and x-axis represent sample mean.

(d) Histogram for sample means is-

The shape of the histogram is increasing slope.