10
QuizMultiple Choice

Introduction to Normal Distributions — Quiz

Question 10 • Mathematics III

The weights of 2 -pound bags of Best Dog Food are approximately normally distributed with a given mean mu and standard deviation sigma According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean?

Answer
A
95 percent
B
68 percent
C
99 point 7 percent
D
47 point 5 percent

Explanation

The Empirical Rule says that approximately 99.7% of values in a normal distribution lie within 3 standard deviations of the mean. Therefore, about 99.7% of the bags are within that range; the correct choice is 99 point 7 percent.

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