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. (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
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. (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
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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part c and d
![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.
(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2783b3a-1da3-4b68-95d1-38679f996819%2F4c7b8b64-7556-46d6-92a0-fc4a9102930c%2F8hg5nf5_processed.png&w=3840&q=75)
Transcribed Image Text: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.
(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.
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