Learning Objectives

The confidence interval for the mean (s not known)

8-1: Identify situations where the confidence interval for the mean might is calculated rather than the t-test for one mean.

8-2: Understand the difference between a point estimate and the confidence interval for the mean.

8-3: Understand the difference between the “probability of a mean” and the “probability of an interval.”

8-4: Calculate and interpret a confidence interval for the mean of different levels of confidence (i.e., 90%, 95%, 99%).

The confidence interval for the mean (s known)

8-5: Understand how the calculation of the confidence interval for the mean changes depending on whether the population standard deviation s  is known.

Factors affecting the size of the confidence interval for the mean

8-6: Understand the two ways sample size affects the width of the confidence interval for the mean.

8-7: Understand how to estimate the sample size needed for a confidence interval of a desired width.

8-8: Understand how the desired level of confidence affects the width of the confidence interval for the mean.

8-9: Understand the relative strengths and weaknesses of confidence intervals of different levels of confidence.

Interval estimation and hypothesis testing

8-10: Understand concerns that have been expressed about hypothesis testing.

8-11: Understand how interval estimation is an alternative to hypothesis testing.