In a butter-packing plant, the quantity of butter packed in a day using a certain type of machine is normally distributed with mean ? and variance 4. On a particular day, 12 packets of butter were taken at random from this production line and their masses, measured in grams, were: 9.5, 9.5, 11.2, 10.6, 9.9, 11.1, 10.9, 9.8, 10.1, 10.2, 10.9, 11.0 i. Find the 95% confidence interval for the mean mass produced by this machine. ii. At 1% level of significance, estimate the mean mass produced by this machine. iii. Based on your answer in (i) and (ii), what can you observe when the confidence level is increased?
In a butter-packing plant, the quantity of butter packed in a day using a certain type of machine is normally distributed with mean ? and variance 4. On a particular day, 12 packets of butter were taken at random from this production line and their masses, measured in grams, were: 9.5, 9.5, 11.2, 10.6, 9.9, 11.1, 10.9, 9.8, 10.1, 10.2, 10.9, 11.0 i. Find the 95% confidence interval for the mean mass produced by this machine. ii. At 1% level of significance, estimate the mean mass produced by this machine. iii. Based on your answer in (i) and (ii), what can you observe when the confidence level is increased?
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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In a butter-packing plant, the quantity of butter packed in a day using a certain type of machine is
9.5, 9.5, 11.2, 10.6, 9.9, 11.1, 10.9, 9.8, 10.1, 10.2, 10.9, 11.0
i. Find the 95% confidence interval for the mean mass produced by this machine.
ii. At 1% level of significance, estimate the mean mass produced by this machine.
iii. Based on your answer in (i) and (ii), what can you observe when the confidence level is increased?
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