A factory is located close to a city high school. The manager claims that the plant's smokestacks spew forth an average of no more than 350 pounds of pollution per day. As a Statistics project, the class plans a one-sided hypothesis test with a critical value of 375 pounds. Suppose the standard deviation in daily pollution poundage is known to be 150 pounds and the true mean is 385 pounds. If the sample size is 100 days, what is the probability that the class will mistakenly fail to reject the factory manager's false claim? 0.7514 0.0475 0.7475 0.2525 0.9525

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A factory is located close to
a city high school. The
manager claims that the
plant's smokestacks spew
forth an average of no more
than 350 pounds of pollution
per day. As a Statistics
project, the class plans a
one-sided hypothesis test
with a critical value of 375
pounds. Suppose the
standard deviation in daily
pollution poundage is known
to be 150 pounds and the
true mean is 385 pounds. If
the sample size is 100 days,
what is the probability that
the class will mistakenly fail
to reject the factory
manager's false claim?
0.7514
0.0475
0.7475
0.2525
0.9525
Transcribed Image Text:A factory is located close to a city high school. The manager claims that the plant's smokestacks spew forth an average of no more than 350 pounds of pollution per day. As a Statistics project, the class plans a one-sided hypothesis test with a critical value of 375 pounds. Suppose the standard deviation in daily pollution poundage is known to be 150 pounds and the true mean is 385 pounds. If the sample size is 100 days, what is the probability that the class will mistakenly fail to reject the factory manager's false claim? 0.7514 0.0475 0.7475 0.2525 0.9525
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