Please answer all 5 parts Question 5Lecturers at a university intend to see the effect of stressrelief strategies such as deep breathing and relaxation techniques to the studentperformance in the final exam. For this reason, they assigned students of the same yearin two different cohorts. More precisely, students in Cohort 1 did not do any relaxationtechniques before the exam, while students in Cohort 2 performed a full range of therelaxation techniques approved by the British Psychological Society. The average markof a random sample of 17 students from Cohort 1 was 61, with a standard deviation of17, while the average mark of a random sample of 11 students from Cohort 2 was 67with 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 isthe same as that for students of Cohort 2 at the 5% significance level. For thistest, what is the p-value?(c) What does the p-value that you calculated in (b) indicate about the nullhypothesis?(d) Calculate a 95% confidence interval for the difference in average marks in theexam for the two cohorts of students. Explain the meaning of the 95% confidenceinterval that you have calculated.

It is given that for cohort 1, sample size = 17, sample mean = 61, sample SD = 17 For cohort 2,…

Answered: (a) Test whether the variances of marks…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.EA: Extended Application Contagion

Problem 2EA

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