Solved: Each headlight on an automobile undergoing an annualvehicle inspection can be
Chapter 14, Problem 19(choose chapter or problem)
Each headlight on an automobile undergoing an annualvehicle inspection can be focused either too high (H), toolow (L), or properly (N). Checking the two headlightssimultaneously (and not distinguishing between left andright) results in the six possible outcomes HH, LL, NN,HL, HN, and LN. If the probabilities (population proportions)for the single headlight focus direction are, and and thetwo headlights are focused independently of one another,the probabilities of the six outcomes for a randomlyselected car are the following:Use the accompanying data to test the null hypothesiswhere the s are given previously.Outcome HH LL NN HL HN LNFrequency 49 26 14 20 53 38[Hint: Write the likelihood as a function of u1 and u2, takethe natural log, then compute and , equate themto 0, and solve for .]
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