A quality characteristic of a product is normally distributed with mean µ and standard deviation . Specifications on the characteristic are 6 x 8. A unit that falls within specifications on this quality characteristic results in a profit of C0. However, if x < 6 the profit is –C1, whereas if x > 8, the profit is –C2. Find the value of that maximizes the expected profit.
Answer to relevant QuestionsConsider the furnace temperature data in Exercise 3.5. (a) Find the sample median of these data. (b) How much could the largest temperature measurement increase without changing the sample median? Suppose that you are testing the following hypotheses where the variance is known: H0 :100 H1 :100 Find the P-value for the following values of the test statistic. (a) Z0 = 2.75 (b) Z0 = 1.86 (c) Z0 = ...Two quality control technicians measured the surface finish of a metal part, obtaining the data in Table 4E.1. Assume that the measurements are normally distributed. (a)Test the hypothesis that the mean surface finish ...Two different types of glass bottles are suitable for use by a soft-drink beverage bottler. The internal pressure strength of the bottle is an important quality characteristic. It is known that 1 = 2 = 3.0 psi. From a ...Nonconformities occur in glass bottles according to a Poisson distribution . A random sample of 100 bottles contains a total of 11 nonconformities. (a) Develop a procedure for testing the hypothesis that the mean of a ...
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