professional cyclists burn a mean of less than 6900 calories during the annual Monaco Endurance Race This would be an

Question

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 In a sample of 13 randomly selected professional cyclists 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 that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6900 a State the null hypothesis H and the alternative hypothesis H that you would use for the test Ho 0 11 0 The value of the test statistic is given by 1 Jn Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed O Two tailed 10 05 is the value that cuts off an area of 0 05 in the right tail Step 3 Enter the critical value s Round to 3 decimal places b Perform a hypothesis test The test statistic has a distribution so the test is a test Here is some other information to help you with your test Step 4 Enter the test statistic Round to 3 decimal places 0 4 03 Since the value of the test statistic lies in the rejection region the null hypothesis is not rejected So there is not enough evidence to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6900 0 2 BE Since the value of the test statistic lies in the rejection region 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 H Since the value of the test statistic doesn t lie in the rejection region 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 O 0 Osa Since the value of the test statistic doesn t lie in the rejection region the null hypothesis is not rejected So there is not enough evidence to X 0 020 0 0 0 0 X X 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 O S X 2 A M

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