Question
Suppose that, at a particular school, math test scores have a normal distribution with a mean of 100 and a standard deviation of 10 for
Suppose that, at a particular school, math test scores have a normal distribution with a mean of 100 and a standard deviation of 10 for male students and have a normal distribution with a mean of 100 and a standard deviation of 20 for female students. The number of male students at the school is the same as the number of female students at the school. If the school sets the pass threshold for the math test at ___, then a higher percentage of female students than of male students will have passed the test. [Hint: To solve this, draw or think about a normal distribution "bell curve" for male students centered at 100. Then draw of think about a normal distribution "bell curve" for female students centered at 100 that has a larger standard deviation and is thus more spread out to the left and to the right and is less tall in the middle. Then think about where the pass threshold could be set so that female students are more likely than male students to fall above that pass threshold.]
- A. 90
- B. 100
- C. 110
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