b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over a period of time, it has been established that the volume of liquid in the cans follow a normal distribution with mean of 335 ml and standard deviation of 3 ml. A setting on the machine is altered, following which the operator suspects that the mean volume of liquid discharged by the machine into the cans has decreased. He takes a random sample of 50 cans and finds that the mean volume of liquid in these cans is 344.6 ml. Does this confirm his suspicion? Test at the 5% level of significance.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over
a period of time, it has been established that the volume of liquid in the cans follow a
normal distribution with mean of 335 ml and standard deviation of 3 ml.
A setting on the machine is altered, following which the operator suspects that the mean
volume of liquid discharged by the machine into the cans has decreased. He takes a random
sample of 50 cans and finds that the mean volume of liquid in these cans is 344.6 ml. Does
this confirm his suspicion? Test at the 5% level of significance.
Transcribed Image Text:b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over a period of time, it has been established that the volume of liquid in the cans follow a normal distribution with mean of 335 ml and standard deviation of 3 ml. A setting on the machine is altered, following which the operator suspects that the mean volume of liquid discharged by the machine into the cans has decreased. He takes a random sample of 50 cans and finds that the mean volume of liquid in these cans is 344.6 ml. Does this confirm his suspicion? Test at the 5% level of significance.
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