SOLUTION: The mean weight of loads of brick is 46.0 tons with a standard deviation of 8 tons. 25 loads are chosen at random for a weight check. Find the probability that the mean weight of

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Question 407231: The mean weight of loads of brick is 46.0 tons with a standard deviation of 8 tons. 25 loads are chosen at random for a weight check. Find the probability that the mean weight of those loads is less than 44.24 tons. Assume that the variable is normally distributed.
Answer by stanbon(75887) About Me  (Show Source):
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The mean weight of loads of brick is 46.0 tons with a standard deviation of 8 tons. 25 loads are chosen at random for a weight check. Find the probability that the mean weight of those loads is less than 44.24 tons. Assume that the variable is normally distributed.
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t(44.24) = (44.24-46)/[8/sqrt(25)] = -1.1
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P(x < 44.24) = P(t< -1.1 when df = 24) = 0.1411
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Cheers,
Stan H.
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