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7. The lot average yield strength of a certain alloy is required to be not less than 150 ksi. The standard deviation based on past experience is 7 ksi and yield strength is known to possess a normal distribution. Ten specimens were drawn at random from a large lot and tested with the following results: 145 142 151 153 138 131 146 153 131 150 a) using a 5% level of significance, should the lot be accepted? b) what is the probability of accepting a lot that has a lot average yield of 145 ksi? c) if standard deviation were not known, find a 95% confidence interval for the mean strength

7. The lot average yield strength of a certain alloy is required to be not less than 150 ksi. The standard deviation based on past experience is 7 ksi and yield strength is known to possess a normal distribution. Ten specimens were drawn at random from a large lot and tested with the following results: 145 142 151 153 138 131 146 153 131 150 a) using a 5% level of significance, should the lot be accepted? b) what is the probability of accepting a lot that has a lot average yield of 145 ksi? c) if standard deviation were not known, find a 95% confidence interval for the mean strength

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
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7. The lot average yield strength of a certain alloy is required to be not less than 150 ksi. The standard deviation based on past experience is 7 ksi and yield strength is known to possess a normal distribution. Ten specimens were drawn at random from a large lot and tested with the following results: 145 142 151 153 138 131 146 153 131 150 a) using a 5% level of significance, should the lot be accepted? b) what is the probability of accepting a lot that has a lot average yield of 145 ksi? c) if standard deviation were not known, find a 95% confidence interval for the mean strength
Transcribed Image Text:7. The lot average yield strength of a certain alloy is required to be not less than 150 ksi. The standard deviation based on past experience is 7 ksi and yield strength is known to possess a normal distribution. Ten specimens were drawn at random from a large lot and tested with the following results: 145 142 151 153 138 131 146 153 131 150 a) using a 5% level of significance, should the lot be accepted? b) what is the probability of accepting a lot that has a lot average yield of 145 ksi? c) if standard deviation were not known, find a 95% confidence interval for the mean strength
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