In a normal distribution where 33 is two standard deviations below the mean, approximately what percent score below 33?

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Multiple Choice

In a normal distribution where 33 is two standard deviations below the mean, approximately what percent score below 33?

Explanation:
Being two standard deviations below the mean places you at z = -2 on the standard normal curve. The area to the left of z = -2 is about 0.0228, or 2.28% of the distribution. Rounding for an approximate answer gives roughly 2.5%. So, about 2.5% of scores fall below 33. The other options would require less extreme positions in the tail and are not as close to the two-standard-deviation cutoff.

Being two standard deviations below the mean places you at z = -2 on the standard normal curve. The area to the left of z = -2 is about 0.0228, or 2.28% of the distribution. Rounding for an approximate answer gives roughly 2.5%. So, about 2.5% of scores fall below 33. The other options would require less extreme positions in the tail and are not as close to the two-standard-deviation cutoff.

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