According to your political science professor, you scored 0.71 standard deviations above the mean on a test. What proportion of students did better than you? How would you determine this?

What will be an ideal response?


(i) Given that the probability of being in half of the normal curve is 0.50, you would look up the z-score of 0.71, then subtract the probability of being between the mean and a z-score of 0.71 from the probability of 0.5000; (ii) First, find: P(z=0.71)=0.2611 (26.11 percent of being between the mean and your score). Second: 0.5000-0.2611=0.2389. This would be interpreted as saying: the probability of being in the tail is 23.89 percent; or, twenty-three percent of your classmates did better than you.

Political Science

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Political Science