Let y 1 and s 1 2 be the sample mean and sample variance, respectively, of n
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Let y̅1 and s12 be the sample mean and sample variance, respectively, of n1 observations randomly selected from a population with mean μ1 and variance σ12. Similarly, define y̅2 and s22 for an independent random sample of n2 observations from a population with mean μ2 and σ22. Derive a large-sample confidence interval for (μ1 - μ2). Start with the pivotal statistic
and show that for large samples, Z is approximately a standard normal random variable. Substitute s21 for σ12 and s22 for σ22 (why can you do this?) and follow the pivotal method of Example 7.6.
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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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