A personality study on university students was conducted to investigate the hypothesis that extroverts have lower grades than introverts. Fifteen students completed a questionnaire that classified them as "extroverts", "average", "introverts". Overall grade point averages on a 5 point scale were reported and the following data were obtained:

A personality study on university students was conducted to investigate the hypothesis that extroverts have lower grades than introverts. Fifteen students completed a questionnaire that classified them as "extroverts", "average", "introverts". Overall grade point averages on a 5 point scale were reported and the following data were obtained: Group 1 (Introverts) Group 2 (Average) Group 3 (Extroverts) 2 3 NOW W - 14 N W W 2 Test the hypothesis at the 5% significance level (a = 0.05) using the 5-step hypothesis testing procedure (show ALL steps). Make sure to clearly state the null and alternative hypotheses in formal symbol notation (or in words if formal symbol notation is not appropriate). Show your work. Show the formula and all steps of the calculations and not just the final answer. Round all values to 2 decimal places. If ANOVA is the appropriate test, you must show the complete ANOVA summary table