Let Y 1 and Y 2 be the means of independent random samples of sizes n1 and
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Let Y̅1 and Y̅2 be the means of independent random samples of sizes n1 and n2 selected from normally distributed populations with parameters (μ1, σ2) and (μ2, σ2), respectively. If
show that
has a Student’s T distribution with v = (n1 + n2 - 2) degrees of freedom.
Transcribed Image Text:
(n - 1)S} + (n, - 1)S n1 + n2 - 2
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To show that the random variable T has a Students tdistribution with v n1 n2 2 degrees of freedom we need to demonstrate that T follows the tdistributions probability density function pdf First lets c...View the full answer
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Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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