An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips. For
Question:
An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips. For treatment A applied to 10 wafers, the numbers of imperfections are 8, 7, 6, 6, 3, 4, 7, 2, 3, 4.
Treatment B applied to 10 other wafers has 9,9,8, 14,8, 13, 11,5, 7,6 imperfections. Treat the counts as independent poisson variates having means µA and µB.
a. Fit the model log µ = α + βx, where x = 1 for treatment B and x = 0 for treatment A. Show that exp(β) = µB/µA, and interpret its estimate.
b. Test H0: µA = µB with the Wald or likelihood ratio test of H0:β = 0. Interpret.
c. Construct a 95% confidence interval for µA / µA.
d. Test H0: µA = µB based on this result: If Y1 and Y2 are independent Poisson with means µ1 and µ2, then (Y1|Y1 + Y2) is binomial with n = Y1 + Y2 and π = µ1/(µ1 + µ2).
Step by Step Answer:
a log 16094 5878x Since log B A exp B A 180 ie the mea...View the full answer
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