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(a) Now the factory wants to test the hypothesis that for each n = 45 product, the mean number of unremovable defects is less than 3.6. Take a = 0.025, Hoμ ≥ 3.6, H₁ μ< 3.6, conduct the hypothesis testing. (Hint: Consider the central limit theorem, regarding here n = 45 > 30 is pretty large. Also tn can be approximated by N(0, 1) when n > 30 is large enough generally, in case you cannot find the result in t-table.) (b) With the current data (X, S), and your decision above, what type of error could you have made? (Just provide the result, no arguments required)

(a) Now the factory wants to test the hypothesis that for each n = 45 product, the mean number of unremovable defects is less than 3.6. Take a = 0.025, Hoμ ≥ 3.6, H₁ μ< 3.6, conduct the hypothesis testing. (Hint: Consider the central limit theorem, regarding here n = 45 > 30 is pretty large. Also tn can be approximated by N(0, 1) when n > 30 is large enough generally, in case you cannot find the result in t-table.) (b) With the current data (X, S), and your decision above, what type of error could you have made? (Just provide the result, no arguments required)

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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LCD (Liquid Crystal Display) is difficult to produce. Some defects are minor and can be removed, while some others are unremovable. A factory count the number of unremovable defects for each of n = 45 displays, and find that the sample average X = 2.467 and the sample standard deviation is S = 3.057. Let's assume the number of unremovable defects for each display follows the same (unknown) distribution. (a) Now the factory wants to test the hypothesis that for each n = 45 product, the mean number of unremovable defects is less than 3.6. Take a = 0.025, Hoµ ≥ 3.6, H₁ : μ< 3.6, conduct the hypothesis testing. (Hint: Consider the central limit theorem, regarding here n = 45 > 30 is pretty large. Also t can be approximated by N(0, 1) when n > 30 is large enough generally, in case you cannot find the result in t-table.) (b) With the current data (X, S), and your decision above, what type of error could you have made? (Just provide the result, no arguments required)
Transcribed Image Text:LCD (Liquid Crystal Display) is difficult to produce. Some defects are minor and can be removed, while some others are unremovable. A factory count the number of unremovable defects for each of n = 45 displays, and find that the sample average X = 2.467 and the sample standard deviation is S = 3.057. Let's assume the number of unremovable defects for each display follows the same (unknown) distribution. (a) Now the factory wants to test the hypothesis that for each n = 45 product, the mean number of unremovable defects is less than 3.6. Take a = 0.025, Hoµ ≥ 3.6, H₁ : μ< 3.6, conduct the hypothesis testing. (Hint: Consider the central limit theorem, regarding here n = 45 > 30 is pretty large. Also t can be approximated by N(0, 1) when n > 30 is large enough generally, in case you cannot find the result in t-table.) (b) With the current data (X, S), and your decision above, what type of error could you have made? (Just provide the result, no arguments required)
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