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

Question

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 8%8% of scores B: Scores below the top 8%8% and above the bottom 59%59% C: Scores below the top 41%41% and above the bottom 23%23% D: Scores below the top 77%77% and above the bottom 7%7% F: Bottom 7%7% of scores Scores on the test are normally distributed with a mean of 72.372.3 and a standard deviation of 9.19.1. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Explanation / Answer

Answer:

A psychology professor assigns letter grades on a test according to the following scheme.

A: Top 8%of scores

B: Scores below the top 8% and above the bottom 59%

C: Scores below the top 41%and above the bottom 23%

D: Scores below the top 77% and above the bottom 7%

F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 72.3 and a standard deviation of 9.1.

Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Z value for below the top 77% =-0.739

x=mean+z*sd

x=72.3-0.739*9.1 = 65.5751

Z value for above the bottom 7% = -1.476

x=72.3-1.476*9.1 = 58.8684

Numerical limits for a D grade = 59 and 66.

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