A retail dealer sells three brands of automobiles. For
Chapter 7, Problem 91SE(choose chapter or problem)
Just as the difference between two sample means is normally distributed for large samples, is the difference between two sample proportions. That is, if \(Y_{1} \text { and } Y_{2}\) are independent binomial random variables with parameters \(\left(n_{1}, p_{1}\right)\) and \(\left(n_{2}, p_{2}\right)\), respectively, then \(\left(Y_{1} / n_{1}\right)\) 𑁋
\(\left(Y_{2} / n_{2}\right)\) is approximately normally distributed for large values of
\(n_{1} \text { and } n_{2}\).
Find \(E\left(\frac{Y_{1}}{n_{1}}-\frac{Y_{2}}{n_{2}}\right)\)
Find \(V\left(\frac{Y_{1}}{n_{1}}-\frac{Y_{2}}{n_{2}}\right)\)
Equation Transcription:
Text Transcription:
Y1 and Y2
(n1, p1)
(n2, p2)
(Y1/n1)
(Y2/n2)
n1 and n2
E(Y1n1-Y2n2)
V(Y1n1-Y2n2)
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