A cognitive psychologist would like to determine if knowing multiple languages is related to increases in intelligence. To test this question they provide an IQ test to 15 participants (5 are monolingual, 5 are bilingual, and 5 are trilingual). Use the data below to answer the following questions.

Monolingual Bilingual Trilingual

105 110 112

115 125 133

122 119 129

108 118 131

114 120 122

1. Solve and report the between groups variance and within groups variance

2. What is the critical value on the f-table?

3. What is the F-statistic?

4. Is the test significant?