A psychology professor assigns letter grades on a test according to the followin
ID: 3332927 • Letter: A
Question
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the top 5% and above the bottom 60% C: Scores below the top 40% and above the bottom 22% D: Scores below the top 78% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 9.4 . Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary. A psychology professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the top 5% and above the bottom 60% C: Scores below the top 40% and above the bottom 22% D: Scores below the top 78% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 9.4 . Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary. A psychology professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the top 5% and above the bottom 60% C: Scores below the top 40% and above the bottom 22% D: Scores below the top 78% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 9.4 . Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary. A psychology professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the top 5% and above the bottom 60% C: Scores below the top 40% and above the bottom 22% D: Scores below the top 78% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 9.4 . Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary. A psychology professor assigns letter grades on a test according to the following scheme. A: Top 5% of scores B: Scores below the top 5% and above the bottom 60% C: Scores below the top 40% and above the bottom 22% D: Scores below the top 78% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 9.4 . Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary. A psychology professor assigns letter grades on a test according to the following scheme. A: Top of scores B: Scores below the top and above the bottom C: Scores below the top and above the bottom D: Scores below the top and above the bottom F: Bottom of scores Scores on the test are normally distributed with a mean of and a standard deviation of . Find the numerical limits for a C grade. Round your answers to the nearest whole number, if necessary.Explanation / Answer
mean = 72.8
Standard deviation = 9.4
C)
Below top 40%
P(X < x) = 0.6
Or, P(Z < (x - 72.8/9.4) = 0.6
Or, (x - 72.8)/9.4 = 0.26
Or, x = 0.26 * 9.4 + 72.8
Or, x = 75.244
Above the bottom 22%
P(X < x) = 0.22
Or, P(Z < (x - 72.8)/9.4) = 0.22
Or,(x - 72.8)/9.4 = -0.77
Or, x = 65.562
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