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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6010 • Linear Models

Fall 2018 • Question 9

Question

Math 6010 • Linear Models Fall 2018 • Question 9

A food processing company packages honey in glass jars. Each jar is supposed to contain 10 fluid ounces of honey. Previous experience suggests that the volume of a randomly selected jar of honey is normally distributed with a known variance of 2 ounces. At a significance level of \(\alpha =.05\) derive the likelihood ratio test for testing the null hypothesis \(H_0:\mu =10\) versus \(H_A:\mu \ne 10\).

Raw LaTeX

A food processing company packages honey in glass jars. Each jar is
supposed to contain 10 fluid ounces of honey. Previous experience suggests that
the volume of a randomly selected jar of honey is normally distributed with a
known variance of 2 ounces. At a significance level of \(\alpha=.05\) derive the
likelihood ratio test for testing the null hypothesis \(H_0:\mu=10\) versus
\(H_A:\mu\ne 10\).

Topic Tags

F-Tests and t-Tests Likelihood Ratio Tests Maximum Likelihood Estimation Uniform Integrability and Truncation Methods