A factory manager claims that the plant's smokestacks spew forth only 350 pounds of pollution per day. A government investigator suspects that the true value is higher and plans a hypothesis test with a critical value of 375 pounds. Suppose the standard deviation in daily pollution poundage is 150 and the true mean is 385 pounds. If the sample size is 100 days, what is the probability that the investigator will mistakenly fail to reject the factory manager's false claim?

A factory manager claims that the plant's smokestacks spew forth only 350 pounds of pollution per day. A government investigator suspects that the true value is higher and plans a hypothesis test with a critical value of 375 pounds. Suppose the standard deviation in daily pollution poundage is 150 and the true mean is 385 pounds. If the sample size is 100 days, what is the probability that the investigator will mistakenly fail to reject the factory manager's false claim?




(A) .0475
(B) .2514
(C) .7486
(D) .7514
(E) .9525


Answer: B


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