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soft-drink machine at a steak house is regulated so that the amount of drink disp pproximately normally distributed with a mean of 190 milliliters and a standard dev 5 milliliters. The machine is checked periodically by taking a sample of 9 drinks an omputing the average content. If x falls in the interval 178

soft-drink machine at a steak house is regulated so that the amount of drink disp pproximately normally distributed with a mean of 190 milliliters and a standard dev 5 milliliters. The machine is checked periodically by taking a sample of 9 drinks an omputing the average content. If x falls in the interval 178

MATLAB: An Introduction with Applications
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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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 190 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 178 <x<202, the machine is thought to be operating satisfactorily; otherwise, the owner concludes that μ # 190 milliliters. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the probability of committing a type I error when μ = 190 milliliters. The probability is (Round to four decimal places as needed.)
Transcribed Image Text: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 190 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 178 <x<202, the machine is thought to be operating satisfactorily; otherwise, the owner concludes that μ # 190 milliliters. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the probability of committing a type I error when μ = 190 milliliters. The probability is (Round to four decimal places as needed.)
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