SOLUTION: The class average on a statistics test is 65 marks with a standard deviation of 12 marks. What minimum mark must a student obtain to be in the top 8% of the class?

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Question 1153175: The class average on a statistics test is 65 marks with a standard deviation of 12 marks. What minimum mark must a student obtain to be in the top 8% of the class?
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
1 - 0.08 = 0.92
:
z-score associated with probability 0.92 is 1.40
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(X - 65)/12 = 1.40
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X - 65 = 12 * 1.40 = 16.8
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X = 16.8 + 65 = 81.8 is approximately 82
:
Therefore, the minimum mark for a student to obtain to be in the top 8% of the class is 82
:

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