INEN314_HW_7 - INEN314 Homework#7(Due 10/31 1[6pts Sample...

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INEN314 Homework #7 (Due 10/31) 1. [6pts] Sample size allocation. Suppose we are testing the hypotheses : 0 H 2 1 µ = : 1 H 2 1 where 2 1 σ and 2 2 are known. Resources are limited, and consequently the total sample size N n n = + 2 1 . How should we allocate the N observations between the two populations to obtain the most powerful test? [Hint: The most powerful test is the one that minimizes the denominator of the corresponding test statistic.] 2. [6pts] The mean content of coffee cans filled on a particular production line are being studied. The target mean of contents is 16.0 oz, and from past experience it is known that the population standard deviation of
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