Answer the following problems by showing your complete solutions. 1. Using the numbers 1, 2, 3, 4, 5, and 6 as the elements of the population, find the mean of the samples of size 3 without replacement. Construct the sampling distribution of the sample mean and the probability histogram. Compute for the mean, the variance, and the standard variation of the sampling distribution of the sample means. 2. Divide the class into groups of 10. Measure the height of each member. Find the sampling distribution of the mean height in centimeters of all the possible subgroups consisting of (1) 2 members, (2) 3 members. Construct a probability histogram of the sampling distribution of the sample mean. b. Compute for the mean, the variance, and the standard deviation of the sampling distribution of the sample means. a.

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