A humanities professor assigns letter grades on a test according to the followin

Question

A humanities professor assigns letter grades on a test according to the following scheme. Top 8% of scores. Scores below the top 8% and above the bottom 62% Scores below the top 38% and above the bottom 18% Scores below the top 82% and above the bottom 9% Bottom 9% of scores Scores on the test are normally distributed with a mean of 67 and a standard deviation of 7.3. Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary. Answer ____________ and ____________

Explanation / Answer

For 38% or 0.38 proportion the z score from z table is 0.305

For 18% or 0.18 proportion the z score from z table is -0.915 (Negative as18% from bottom)

0.305 = (x-67)/7.3

X= 69.2265

similarily

-0.915 = (y-67)/7.3 = 60.3205

Y = 60.3205

AFTER ROUNDING OFF TO THE NEAREST WHOLE NUMBER

THE LIMITS ARE 60 AND 69

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