MATH 399N Week 6 Discussion: Confidence Interval Concepts 2022/2023 Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you • increase the confidence level, • increase the sample size, or • increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula.

MATH 399N Week 5 Discussion: Interpreting Normal Distributions 2022/2023 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?