Problem
Explain the difference between an independent samples t-test and a one-way ANOVA.
Explain when you would use an independent samples t-test and a paired samples t-test.
A researcher tests differences in math scores between middle schoolers who get a math intervention and those who do not. Her null hypothesis is that math scores do not differ between the two groups, and the alternative hypothesis is that math scores do differ between groups. She uses an alpha of .05 and when she runs her statistical test, she finds that there is a significant difference in math scores between groups, and rejects the null hypothesis. She concludes that the math scores are higher for students who received the intervention than those who did not. Describe in words, the probability of the effect of the intervention occuring by chance.