When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons/day and a standard deviation of 42 tons/day. During an analysis of period, the output is measured with random sampling on 60 consecutive days, and the mean output is found to be x=875 tons/day. The manager claims that at least 95% probability that the plant is operating properly. Is he right? Justify your answer! Sol:

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Prob-6
When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons/day and a
standard deviation of 42 tons/day. During an analysis of period, the output is measured with random sampling on 60 consecutive days, and the
mean output is found to be x=875 tons/day. The manager claims that at least 95% probability that the plant is operating properly. Is he right?
Justify your answer!
Sol:
Transcribed Image Text:Prob-6 When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons/day and a standard deviation of 42 tons/day. During an analysis of period, the output is measured with random sampling on 60 consecutive days, and the mean output is found to be x=875 tons/day. The manager claims that at least 95% probability that the plant is operating properly. Is he right? Justify your answer! Sol:
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