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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 1 (15 points): Sutcu company produces a ball and check its diameter by picking random
produced balls from the production area. Diameter of the balls are approximately normally distributed
and have a standard deviation of 2 millimeters. Sutcu company wishes to test Ho:u = 50mm
versus H1:µ + 50mm using the results of n=20 samples.
a. (8 points) Find the type I error probability a if the critical region is i < 48 and > 52.
b. (7 points) What is the probability of type II error if the true mean product diameter is 51.2
millimeters?
Transcribed Image Text:Question 1 (15 points): Sutcu company produces a ball and check its diameter by picking random produced balls from the production area. Diameter of the balls are approximately normally distributed and have a standard deviation of 2 millimeters. Sutcu company wishes to test Ho:u = 50mm versus H1:µ + 50mm using the results of n=20 samples. a. (8 points) Find the type I error probability a if the critical region is i < 48 and > 52. b. (7 points) What is the probability of type II error if the true mean product diameter is 51.2 millimeters?
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