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A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6400 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6400 calories.) A study of 14 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6213 with a sample standard deviation of 332 calories. Assume that the population of numbers of calories bumed 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6400. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. HO HO . Student's t Distribution Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t= Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed P (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 3: Enter the test statistic (Round to 3 decimal places.) ロンロ Step 4: Shade the area represented by the p-value. Step 5: Enter the p-value. (Round to 3 decimal places) X Oso O>O S √n The p-value is the area under the curve to the left of the value of the test statistic. 020 0-0 0-0 ローロ 5 94+ 03+ 02+ aut

A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6400 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6400 calories.) A study of 14 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6213 with a sample standard deviation of 332 calories. Assume that the population of numbers of calories bumed 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6400. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. HO HO . Student's t Distribution Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t= Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed P (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 3: Enter the test statistic (Round to 3 decimal places.) ロンロ Step 4: Shade the area represented by the p-value. Step 5: Enter the p-value. (Round to 3 decimal places) X Oso O>O S √n The p-value is the area under the curve to the left of the value of the test statistic. 020 0-0 0-0 ローロ 5 94+ 03+ 02+ aut

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6400 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6400 calories.) A study of 14 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6213 with a sample standard deviation of 332 calories. Assume that the population of numbers of calories bumed 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6400. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. HO HO . Student's t Distribution Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t= Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed P (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 3: Enter the test statistic (Round to 3 decimal places.) ロンロ Step 4: Shade the area represented by the p-value. Step 5: Enter the p-value. (Round to 3 decimal places) X Oso O>O S √n The p-value is the area under the curve to the left of the value of the test statistic. 020 0-0 0-0 ローロ 5 94+ 03+ 02+ aut
Transcribed Image Text:A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6400 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6400 calories.) A study of 14 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 6213 with a sample standard deviation of 332 calories. Assume that the population of numbers of calories bumed 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6400. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. HO HO . Student's t Distribution Step 1: Enter the number of degrees of freedom. The value of the test statistic is given by t= Step 2: Select one-tailed or two-tailed. O One-tailed OTwo-tailed P (b) Perform a I test and find the p-value. Here is some information to help you with your I test. Step 3: Enter the test statistic (Round to 3 decimal places.) ロンロ Step 4: Shade the area represented by the p-value. Step 5: Enter the p-value. (Round to 3 decimal places) X Oso O>O S √n The p-value is the area under the curve to the left of the value of the test statistic. 020 0-0 0-0 ローロ 5 94+ 03+ 02+ aut
(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 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 6400. O 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 6400. O 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 6400. O Since the p-value is greater than 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 6400. X
Transcribed Image Text:(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 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 6400. O 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 6400. O 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 6400. O Since the p-value is greater than 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 6400. X
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