Question
In: Statistics and Probability
A humanities professor sent a letter grade on a test according to the following scheme. A:...
A
humanities professor sent a letter grade on a test according to the
following scheme. A: top 12% scores. B: Score is below 12% and
above the bottom 58%. C: score is below the top 42% and above the
bottom 25% . D: scores below top 75% and above bottom 8% . F:
bottom 8% of scores.
Scores on tests are normally distributed with a mean of 78.9
and a standard deviation of 9.3.Find the minimum score required for
an average.
Solutions
Expert Solution
A: top 12% scores.
This represents students are 88 percentile and above
B: Score is below 12% and above the bottom 58%.
This represents student for are between 88 percentile and 58
percentile
We find the 58th percentile as follows
C: score is below the top
42% and above the bottom 25% .
This represents student for are between 58th percentile and 25th percentile
We find the 25th percentile as follows
D: scores below top 75% and above bottom 8% .
This represents student for are between 25th percentile and 8th percentile
We find the 8th percentile as follows
F: bottom 8% of scores.
This represents student for are between 8th percentile and 0th percentile
This grade system is shown below in the figure.
Therefore an average score would get a C
grade.
orchestra answered 2 years agoRelated Solutions
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