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San Diego State University Operations And Supply Chain Management Assignment Help - Mean

Question - A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is approximately normally distributed with a mean of 200 milliliters and a standard deviation of 15 milliliters. The machine is checked periodically by taking a sample of 9 drinks and computing the average content. If x falls in the interval 191 < x < 209, the machine is thought to be operating satisfactorily; otherwise, we conclude that &#956; does not equal 200 milliliters. a) Find the probability of committing at type I error when &#956; = 200 milliliters. &#956; = 200, n = 9, &#417; = 15 and &#417; x = 15/3 = 5 So, z1 = (191-200)/5 = -1.8, and z2 = (209 - 200)/5 = 1.8, with a &#945; = 2P(Z < -1.8) = (2)(0.0359) = 0.0718 b) Find the probabil ...Read More

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