MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

Please answer all 5 parts

Question 5
Lecturers at a university intend to see the effect of stress
relief strategies such as deep breathing and relaxation techniques to the student
performance in the final exam. For this reason, they assigned students of the same year
in two different cohorts. More precisely, students in Cohort 1 did not do any relaxation
techniques before the exam, while students in Cohort 2 performed a full range of the
relaxation techniques approved by the British Psychological Society. The average mark
of a random sample of 17 students from Cohort 1 was 61, with a standard deviation of
17, while the average mark of a random sample of 11 students from Cohort 2 was 67
with a standard deviation of 19.
(a) Test whether the variances of marks for the two cohorts are the same at the 5%
significance level.
(b) Test the hypothesis that the average mark in the exam for Cohort 1 students is
the same as that for students of Cohort 2 at the 5% significance level. For this
test, what is the p-value?
(c) What does the p-value that you calculated in (b) indicate about the null
hypothesis?
(d) Calculate a 95% confidence interval for the difference in average marks in the
exam for the two cohorts of students. Explain the meaning of the 95% confidence
interval that you have calculated.
expand button
Transcribed Image Text:Question 5 Lecturers at a university intend to see the effect of stress relief strategies such as deep breathing and relaxation techniques to the student performance in the final exam. For this reason, they assigned students of the same year in two different cohorts. More precisely, students in Cohort 1 did not do any relaxation techniques before the exam, while students in Cohort 2 performed a full range of the relaxation techniques approved by the British Psychological Society. The average mark of a random sample of 17 students from Cohort 1 was 61, with a standard deviation of 17, while the average mark of a random sample of 11 students from Cohort 2 was 67 with a standard deviation of 19. (a) Test whether the variances of marks for the two cohorts are the same at the 5% significance level. (b) Test the hypothesis that the average mark in the exam for Cohort 1 students is the same as that for students of Cohort 2 at the 5% significance level. For this test, what is the p-value? (c) What does the p-value that you calculated in (b) indicate about the null hypothesis? (d) Calculate a 95% confidence interval for the difference in average marks in the exam for the two cohorts of students. Explain the meaning of the 95% confidence interval that you have calculated.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman