SOLUTION: A final exam in Math 1148 has a mean of 73 with standard deviation 7.8. If 54 students are randomly selected, find the probability that the mean of their test scores is at least 76
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Question 847369: A final exam in Math 1148 has a mean of 73 with standard deviation 7.8. If 54 students are randomly selected, find the probability that the mean of their test scores is at least 76.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A final exam in Math 1148 has a mean of 73 with standard deviation 7.8. If 54 students are randomly selected, find the probability that the mean of their test scores is at least 76.
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z(76) = (76-73)/[7.8/sqrt(54)] = 3*sqrt(54)/7.8 = 2.826
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P(x-bar >= 76) = P(z >= 2.826) = 0.0024
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Cheers,
Stan H.
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