SOLUTION: The scores on a final exam are normally distributed with a mean grade of 79 and a standard deviation of 9.5. The top 10% of the students will receive an "A" on this exam. What is t

Algebra ->  Probability-and-statistics -> SOLUTION: The scores on a final exam are normally distributed with a mean grade of 79 and a standard deviation of 9.5. The top 10% of the students will receive an "A" on this exam. What is t      Log On


   



Question 452881: The scores on a final exam are normally distributed with a mean grade of 79 and a standard deviation of 9.5. The top 10% of the students will receive an "A" on this exam. What is the minimum numeric grade a student must get in order to receive the grade of A?
Answer by stanbon(75887) About Me  (Show Source):
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The scores on a final exam are normally distributed with a mean grade of 79 and a standard deviation of 9.5. The top 10% of the students will receive an "A" on this exam. What is the minimum numeric grade a student must get in order to receive the grade of A?
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Find the z-value with a right-tail of 10%:
z = 1.2816
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Find the corresponding x-value:
x = zs+u
x = 1.2816*9.5+79 = 91.17
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Cheers,
Stan H.