Question 298986: In the United States, one farmworker supplied agricultural products for an average of 106 people. Assume the standard deviation is 16.1. If 35 farmworkers are selected, find the probability that the mean number of people supplied is between 100 and 110.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In the United States, one farmworker supplied agricultural products for an average of 106 people. Assume the standard deviation is 16.1. If 35 farmworkers are selected, find the probability that the mean number of people supplied is between 100 and 110.
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t(100) = (100-106)/[16.1/sqrt(35)] = -2.2048
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t(110) = (110-106)/[16.1/sqrt(35)] = 1.4698
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P(100<= x-bar <=110) = P(-2.2048<= t <= 1.4698 with df=34)
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= tcdf(-2.2048,1.4698,34)
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= 0.9074
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Cheers,
Stan H.
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