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Statistics and Probability

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Ethics and Skewed Distributions

STATS-EJJWYX

The number of college applications submitted by the 50 seniors at Ivy Prep Boarding School is negatively skewed. The average number of applications completed was 3 with a standard deviation of 1. The administration boasted that Ivy Prep students were so exceptional and confident that 95% of them submitted 4 or fewer college applications.

Is the administration acting ethically when they make this statement?

A

No, they should have said that 99% of students submitted fewer than 4 college applications.

B

Yes, they are using the Empirical Rule to make an accurate statement.

C

Yes, they are using the standard deviation to make an accurate statement.

D

No, they are applying the Empirical Rule to a skewed distribution in order to make their students look better.