Webassign Homework 7: Confidence Intervals for Means using t-distribution, Assignments of Statistics

Download Webassign Homework 7: Confidence Intervals for Means using t-distribution and more Assignments Statistics in PDF only on Docsity! Webassign Homework 7 Study Guide Learning Objectives: Confidence Intervals for Means: 1. Identify the favorable conditions for inferences on a mean. (For example, having data based on a SRS from a normal population.) Further explain how inferences based on the t-distribution are robust. 2. Calculate the standard error of a sample mean. 3. Explain the purpose of the t-distribution and when it is used. 4. Given a sampling situation, determine the appropriate degrees of freedom associated with the t-distribution. 5. Explain the differences and similarities between the normal and t-distributions. (For example, the t-distribution is more variable but approaches normality as n increases.) 6. Describe how the shape of a t-distribution is affected by changing the degrees of freedom. 7. Construct and interpret a one sample confidence interval for the mean based on the t- distribution using the formula sx t n ± (This includes using the t-table to find the required “t*” critical value based on the confidence level “C”.) 8. Given a study and confidence interval for the mean, describe how the following will affect the width of the confidence interval. a. Increasing the sample size b. Increasing the confidence level C 9. Describe how varied sample sizes affect the requirements on which t-procedures may be considered. Relevant Reading: Chapter 9 pgs 361-365, 370-373 Chapter 11 pgs 443-444, 447-448, 450-483 not including CI Module 4 and 5 Suggested practice problems: 9.62, 9.92, 9.94, 9.98, 9.99, 11.19, 11.21, 11.23, 11.26, 11.31, 11.33, 11.63