Question

Directions: For each of the following scenarios, identify which statistical procedure (e.g.: paired t-test, ANOVA, two way ANOVA, correlation, etc.) you would use. Include WHY you chose the option you did (this does not have to be lengthy). If you would need to conduct post-hoc testing, state so.

1. You are testing a volleyball team on their vertical jump height. You want to compare to an established population norm.

Answer 1

1. One sample t-test for the mean or Z-test for the mean.

Explanation: If the population standard deviation is given then the sample mean follows a normal distribution thus we'll use the Z-test here. But if the standard deviation is not given then using the sample standard deviation we will construct a test statistic that follows t-distribution thus we'll use the t-test here.