A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6000 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6000 calories.) A study of 20 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 5884 with a sample standard deviation of 765 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 6000. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: u = 6000 H: µ < 6000 O
A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6000 calories during the annual Monaco Endurance Race. (This would be an improvement on the previously accepted value of 6000 calories.) A study of 20 randomly selected professional cyclists finds that the sample mean number of calories the cyclists burn during the race is 5884 with a sample standard deviation of 765 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 6000. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: u = 6000 H: µ < 6000 O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I am not sure about part B and C I don't know how to calculate the p value help please .
![nưoductioon to nypo
uOneIndod
Espafiol
S : Enter the number of degrees
of freedom.
19
Step 2: Select one-tailed or two tailed.
03+
O One-tailed
O Two-tailed
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
0.2-
0.678
Step 4: Shade the area represented by
the p-value.
0.1-
Step 5: Enter the p-value.
(Round to 3 decimal places.)
1- 0678
(c) Based on your answer to part (b), choose what can
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 6000.
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 6000.
O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to
Explanation
Check
O 2021 McGraw H LLC. All Rights Ruserved. Terms of Use I Privacy Conter | Accessibility
79°F Mostly clear A D0
earch
hp](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53adddb0-ebb2-4e76-a872-01ab126d1a60%2Fae9c0095-4b22-4615-8428-e162a13949fc%2F0i32nyd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:nưoductioon to nypo
uOneIndod
Espafiol
S : Enter the number of degrees
of freedom.
19
Step 2: Select one-tailed or two tailed.
03+
O One-tailed
O Two-tailed
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
0.2-
0.678
Step 4: Shade the area represented by
the p-value.
0.1-
Step 5: Enter the p-value.
(Round to 3 decimal places.)
1- 0678
(c) Based on your answer to part (b), choose what can
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 6000.
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 6000.
O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to
Explanation
Check
O 2021 McGraw H LLC. All Rights Ruserved. Terms of Use I Privacy Conter | Accessibility
79°F Mostly clear A D0
earch
hp
![A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6000 calories during the annual Monaco
Endurance Race. (This would be an improvement on the previously accepted value of 6000 calories.) A study of 20 randomly selected professional cyclists finds
that the sample mean number of calories the cyclists burn during the race is 5884 with a sample standard deviation of 765 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 6000.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
Ho: u = 6000
H: µ < 6000
OSO
O=0
(b) Perform a t test and find the p-value.
Here is some information to help you with your t test.
• The value of the test statistic is given by t =
• The p-value is the area under the curve to the left of the value of the test statistic.
Student's t Distribution
04
Step 1: Enter the number of degrees
of freedom.
19
Step 2: Select one-tailed or two-tailed.
lanation
Check
1IC AL Bichts Reserved. Terms of Use| Privacy Center](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53adddb0-ebb2-4e76-a872-01ab126d1a60%2Fae9c0095-4b22-4615-8428-e162a13949fc%2Fyg7l1s9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A sports science group claims that due to improved training methods, professional cyclists burn a mean of less than 6000 calories during the annual Monaco
Endurance Race. (This would be an improvement on the previously accepted value of 6000 calories.) A study of 20 randomly selected professional cyclists finds
that the sample mean number of calories the cyclists burn during the race is 5884 with a sample standard deviation of 765 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 6000.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
Ho: u = 6000
H: µ < 6000
OSO
O=0
(b) Perform a t test and find the p-value.
Here is some information to help you with your t test.
• The value of the test statistic is given by t =
• The p-value is the area under the curve to the left of the value of the test statistic.
Student's t Distribution
04
Step 1: Enter the number of degrees
of freedom.
19
Step 2: Select one-tailed or two-tailed.
lanation
Check
1IC AL Bichts Reserved. Terms of Use| Privacy Center
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