List an example of a study that would require Analysis of Variance (ANOVA), but could not be performed with a T-test. Please provide explanation for why an ANOVA is required and a T-test could not be used. In addition, for your study, make up data, or use the example data below to go through the four hypothesis test steps. Please show all calculations.

example:

For example, in class, we learned about the study on recall where there were 4 different types of questions (i.e. physical, sound, meaning, and self; independent measure or predictor measure) and the researchers were interested in understanding which type of questions that were processed by the participants helped with recall, the dependent variable, or outcome measure. Because there were four different groups within the independent variable, it requires ANOVA, while we could not use a t-test because a t test requires a maximum of two groups for the predictor variable.

Homework example data