Suppose the average finishing time for a national marathon is 4.5 hours or 270 minutes. A local marathon organizer wants to see if the finishing times in the local marathon are higher than the national average. A random sample of 100 runners participating in the local marathon gave a mean of 292 minutes, with a standard deviation of 65 minutes. Formulate the appropriate null and alternative hypotheses when using a one-sample t-test. Ho:P = 270 Hai > 270 Use a t-test to test the hypotheses in Question 13. Find each of the following. The degrees of freedom. Answer: 99 rThe degrees of freedom Answer: 99 The value of the test-statistic. Round your answer to three decimal places, that is to the nearest thousandth. Answer: 3.385 The p-value. Use three non-zero digits for your answer. Do NOT use scientific notation. Answer: Do the data suggest (using a significance level of a=5%) that the mean finishing time is higher than 4.5 hours? Give a reason for your answer. No since the null hypothesis is rejected • p-value is less than • 595),