Espanol A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6900 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6900 calories.) A study of 13 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6833 with a sample standard deviation of 773 calories. Assume that the population of numbers of calories burned by professional cyclists during the race is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that u, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6900. (a) State the null hypothesis #, and the alternative hypothesis /7, that you would use for the test. Ho: 0 1 0=0 0-0 (b) Perform a r test and find the p-value. Here is some information to help you with your , test . The value of the test statistic is given by The p-value is the area under the curve to the left of the value of the test statistic Student's t Distribution Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. One-tailed Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) Step 4: Shade the area represented by the p- value. (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the sports science group. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6900 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean number