# Confidence Intervals and Hypothesis Testing resources

### 4. Tests and Quizzes (1)

Business Statistics 4 - Numbas

5 questions. 1. Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included. 2. Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included. 3. Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis. 4. Provided with information on a sample with sample mean and known population variance, use the z test to either accept or reject a given null hypothesis. 5. Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation. Link to use of t tables and p-values in Show steps. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

### 7. Community Project (1)

Statistical hypothesis testing SOURCE

A Quick Reference worksheet on an introduction to statistical hypothesis testing. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and Peter Samuels, Birmingham City University under a Creative Commons licence CC-BY-SA and reviewed by Ellen Marshall, University of Sheffield. The zip file contains the source file and the associated statstutor metadata spreadsheet.

### Quick reference worksheet (1)

Statistical hypothesis testing

A Quick Reference worksheet on an introduction to statistical hypothesis testing. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and Peter Samuels, Birmingham City University and reviewed by Ellen Marshall, University of Sheffield.