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 150 milliliters and a standard deviation of 17 milliliters. The machine is checked periodically by taking a sample of 12 drinks and computing the average content. If X falls in the interval 140 < X < 160, the machine is thought to be operating satisfactorily; otherwise, we conclude that u # 150 milliliters. (a) Find the probability of committing a type I error when µ = 150 milliliters. Answer: (Give your answer to 4 decimal places) (b) Find the probability of committing a type II error when µ = 165 milliliters. [Hint: For z-scores more than 3.5, use the probability as 0, that is P(z > 3.5) = 0] Answer: (Give your answer to 4 decimal places)

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 150 milliliters and a standard deviation of 17 milliliters. The machine is checked periodically by taking a sample of 12 drinks and computing the average content. If X falls in the interval 140 < X < 160, the machine is thought to be operating satisfactorily; otherwise, we conclude that u # 150 milliliters. (a) Find the probability of committing a type I error when µ = 150 milliliters. Answer: (Give your answer to 4 decimal places) (b) Find the probability of committing a type II error when µ = 165 milliliters. [Hint: For z-scores more than 3.5, use the probability as 0, that is P(z > 3.5) = 0] Answer: (Give your answer to 4 decimal places)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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