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On the Math SAT, men have a distinct edge. In 2005, for instance, the men averaged about 538, and the women averaged about 504. You may assume (i) the histograms followed the normal curve, and (ii) both SDs were about 120. Estimate the percentage of men getting over 700 on this test in 2005.

Respuesta :

The percentage of men getting over 700 on this test in 2005 is 8.85%.

How to calculate the value?

It should be noted that based on the information illustrated, the percentage will be calculated thus:

= P(X - 538/120) > (700 - 538/120)

= P(Z > 1.35)

= 1 - P(Z <= 1.35)

Using normal table

= 1 - 0.9115

= 0.0885

Therefore, the percentage of men getting over 700 on this test in 2005 is 8.85%.

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