From a population consisting of 20, 28, 32, 38, and 40, a sample of size 2 will be selected with replacement. a) List down all the possible sample of size 2 with replacement and find the mean of each sample. b) Give the probability distribution of the sample mean, x̄. c) Give the mean and standard deviation of the sample mean, x̄.

From a population consisting of 20, 28, 32, 38, and 40, a sample of size 2 will be selected with replacement. a) List down all the possible sample of size 2 with replacement and find the mean of each sample. b) Give the probability distribution of the sample mean, x̄. c) Give the mean and standard deviation of the sample mean, x̄.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter0: Preparing For Algebra

Section: Chapter Questions

Problem 55PRT

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Question

From a population consisting of 20, 28, 32, 38, and 40, a sample of size 2 will be selected with replacement.

a) List down all the possible sample of size 2 with replacement and find the mean of each sample.
b) Give the probability distribution of the sample mean, x̄.
c) Give the mean and standard deviation of the sample mean, x̄.

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