Exercise

# Hypothesis testing and the ANOVA

An analysis of variance or ANOVA allows the comparison of several means of several groups. An ANOVA is often used when you deal with more than 2 groups. In this lab we use the symbol g for the number of groups. The symbols $\mu*1\(, \)\mu*2\( and \)\mu_g$ denote the population means of the various groups.

Before we move on, to the technical details of an ANOVA, let's first get our hypotheses right. Choose the most appropriate set of hypotheses for an ANOVA.

Instructions

### Possible answers

H0: $\mu

*1\( > \)\mu*2\( = \)\mu_3$, H1: at least two population means are unequalH0: $\mu

*1\( = \)\mu*2\( = \)\mu_3$, H1: all population means are unequalH0: $\mu

*1\( = \)\mu*2\( = \)\mu_3$, H1: at least two population means are unequal