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A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6800 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6800 calories.) In a sample of 21 randomly selected professional cyclists, the sample mean number of calories the cyclists burn during the race is 6583 with a sample standard deviation of 364 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6800. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: H₁: [ • The value of the test statistic is given by t= Student's t Distribution Step 1: Enter the number of degrees of freedom. μ 0.4+ X x (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • 10.05 is the value that cuts off an area of 0.05 in the right tail. x-μ S √n OSO O

A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6800 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6800 calories.) In a sample of 21 randomly selected professional cyclists, the sample mean number of calories the cyclists burn during the race is 6583 with a sample standard deviation of 364 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6800. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: H₁: [ • The value of the test statistic is given by t= Student's t Distribution Step 1: Enter the number of degrees of freedom. μ 0.4+ X x (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • 10.05 is the value that cuts off an area of 0.05 in the right tail. x-μ S √n OSO O

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 6800 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6800 calories.) In a sample of 21 randomly selected professional cyclists, the sample mean number of calories the cyclists burn during the race is 6583 with a sample standard deviation of 364 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6800. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: H₁: [ • The value of the test statistic is given by t= Student's t Distribution Step 1: Enter the number of degrees of freedom. μ 0.4+ X x (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • 10.05 is the value that cuts off an area of 0.05 in the right tail. x-μ S √n OSO O<O ΠΣΠ ロ=ロ ☐#0
Transcribed Image Text:A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6800 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6800 calories.) In a sample of 21 randomly selected professional cyclists, the sample mean number of calories the cyclists burn during the race is 6583 with a sample standard deviation of 364 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 μ, the mean number of calories professional cyclists burn during the Monaco Endurance Race, is less than 6800. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: H₁: [ • The value of the test statistic is given by t= Student's t Distribution Step 1: Enter the number of degrees of freedom. μ 0.4+ X x (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • 10.05 is the value that cuts off an area of 0.05 in the right tail. x-μ S √n OSO O<O ΠΣΠ ロ=ロ ☐#0
(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • t0.05 is the value that cuts off an area of 0.05 in the right tail. x-μ S In The value of the test statistic is given by t= 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 Step 3: Enter the critical value(s). (Round to 3 decimal places.) Step 4: Enter the test statistic. (Round to 3 decimal places.) 04+ 0.3- 0.2- 0.1+
Transcribed Image Text:(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. • t0.05 is the value that cuts off an area of 0.05 in the right tail. x-μ S In The value of the test statistic is given by t= 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 Step 3: Enter the critical value(s). (Round to 3 decimal places.) Step 4: Enter the test statistic. (Round to 3 decimal places.) 04+ 0.3- 0.2- 0.1+
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