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Find the cutoff score for top 20% if X~N(115, 10)

Find the cutoff score for top 20% if X~N(115, 10)

Math   Statistics-And-Probability   
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Answer #1

It is given that:

The standardized value of X is:

Let the cutoff score for top 20% be C.

Hence, the value of C can be obtained as:

The z-value is obtained using the Excel function, NORMSINV, with the value 0.80.

Therefore, the cutoff score for top 20% if is 117.66.

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