The standard process for making a polymer has mean yield (35 %). A chemical engineer has developed
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The standard process for making a polymer has mean yield \(35 \%\). A chemical engineer has developed a modified process. He runs the process on 10 batches and measures the yield (in percent) for each batch. They are:
Assume that yield is normal \(\left({ }^{2}\right.\) ) where the standard deviation \(=3\) is known.
(a) Use a normal(30 \(\left.10^{2}\right)\) prior for . Find the posterior distribution.
(b) The engineer wants to know if the modified process increases the mean yield. Set this up as a hypothesis test stating clearly the null and alternative hypotheses.
(c) Perform the test at the \(5 \%\) level of significance.
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Related Book For
Introduction To Bayesian Statistics
ISBN: 9781118091562
3rd Edition
Authors: William M. Bolstad, James M. Curran
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