Please Read First
The topic this week is Interpreting Normal Distributions. Interpretation depends on understanding of the 3-Sigma Rule:
The 3-Sigma Rule
In statistics, the 68-95-99.7 rule — or three-sigma rule, or empirical rule — states that for a normal distribution, nearly all values lie within 3 standard deviations of the mean. More accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean.
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
This rule should give you a basis for determining if it would be unusual for “the mean of a sample of 3 to be 115 or more” for the population stated.
Here is a website that might help you frame your response: