Help the athletic director to entertain the statement above, (assume α = .05, two-tailed). a. Calculate the mean ( ?̅ ) and standard deviation ( S ) for the athletes. b. State the null and alternative hypotheses (Ho and H1) c. Make a decision about the null hypothesis. 1. Calculate the degrees of freedom (df). 2. Set alpha (α), identify the critical values (draw the distribution), and state a decision rule. 3. Calculate a statistic: t-test for one mean. 4. Make a decision whether to reject the null hypothesis. 5. Determine the level of significance. d. Draw a conclusion from the analysis. e. What are the implications of this analysis for the athletic director?