On average, a competitive cyclist should be able to ride a full mile in 2.61 minutes. A certain biking club in your area claims that their cyclists are significant better than the average competitive cyclist, meaning that their time to ride a full mile is less than the average. This is represented by the following hypotheses, H 0 : μ = 2.61 H 1 : μ < 2.61 To test this claim, you gather a random sample of 35 riders from the biking club and find that they have an average time of x ¯ = 2.49 minutes and a standard deviation of s = 0.25 minutes. Using α = 0.05, test the claim (assume all conditions are met): i. Calculate the test statistic, rounding your answer to three decimal places: ii. Calculate the p-value (using your calculator or StatCrunch), rounding your answer to three decimal places: iii. Your calculated p-value is than alpha. (type "greater" or "smaller", without the quotations) iv. Based on your results, they should the null hypothesis. (type "reject" or "not reject", without the quotations) v. Do you have reason to believe that the biking club cyclists are better than the average competitive cyclist? (type "yes" or "no", without the quotations)