math 399

1) 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

2) Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you

A)increase the confidence level,

b)increase the sample size, or

C)increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula.

3) How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?