annual Monaco Endurance Race This would be an improvement on
Last updated: 5/24/2023
annual Monaco Endurance Race This would be an improvement on the previously accepted value of 6200 calories A study of 19 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6185 with a sample standard deviation of 845 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 10 level of significance to support the claim that the mean number of calories professional cyclists burn during the Monaco Endurance Race is less than 6200 a State the null hypothesis and the alternative hypothesis that you would use for the test Ho Student s t Distribution Step 1 Enter the number of degrees of freedom Step 2 Select one tailed or two tailed O One tailed OTwo tailed H Step 3 Enter the test statistic Round to 3 decimal places 0 0 b Perform a test and find the p value Here is some information to help you with your test Step 4 Shade the area represented by the p value The value of the test statistic is given by t Step 5 Enter the p value Round to 3 decimal places x X O 0 O 020 0 0 0 0 The p value is the area under the curve to the left of the value of the test statistic 5 x S 94 03 t 92 2011 c Based on your answer to part b choose what can be concluded at the 0 10 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 6200 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 of calories professional cyclists burn during the Monaco Endurance Race is less than 6200 Since the p value is greater than 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 6200 X Since the p value is greater than the level of significance the null hypothesis is not rejected So