Suppose we want to test whether or not three means are equal. We want to perform this test with a 5% significance level.

If we perform an ANOVA test, what is the probability of the test producing accurate results (avoiding aType I error)?

Suppose we, instead, run three separate hypothesis tests (t-tests), each with 5% significance level.

• Mean 1 = Mean 2
• Mean 1 = Mean 3
• Mean 2 = Mean 3

What is the probability that all three tests would be accurate? Hint: useprinciples of probabilityto help your calculations: P(accurate AND accurate AND accurate)Do not round

Why would we use ANOVA instead of three separate tests?

Why would we want to use three separate tests instead of ANOVA?