Explain Prerequisites of Sampling Distribution of the Mean?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 6SGR
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Question
Explain Prerequisites of Sampling Distribution of the Mean?
Expert Solution
Step 1
The sampling distribution of the sample mean, X̄, based on a sample of size n, taken from a population with expectation μ and standard deviation σ, has expectation μX̄ = μ and standard deviation σX̄ = σ/√n.
This property holds true irrespective of the nature of the distribution of X̄.
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