Asked by Benjamin
                A sociology professor assigns letter grades on a test according to the following scheme. 
A: Top 14% of scores
B: scores below the top 14% and above the bottom 55%
C: scores below the top 45% and above the bottom 17%
D: scores below the top 83% and above the bottom 6%
F: bottom 6 % of scores
Scores on the test are normally distributed with a mean of 78.3 and a standuard deviation of 7.3. Find the numerical limits for a B grade. Round your answers to the nearest whole number if necessary.
Can someone please help and show all work thank you so much!
            
        A: Top 14% of scores
B: scores below the top 14% and above the bottom 55%
C: scores below the top 45% and above the bottom 17%
D: scores below the top 83% and above the bottom 6%
F: bottom 6 % of scores
Scores on the test are normally distributed with a mean of 78.3 and a standuard deviation of 7.3. Find the numerical limits for a B grade. Round your answers to the nearest whole number if necessary.
Can someone please help and show all work thank you so much!
Answers
                    Answered by
            PsyDAG
            
    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions/probabilities and their Z scores.
Z = (score-mean)/SD
    
Z = (score-mean)/SD
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