A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C and D) on people at high risk of heart attack. For this clinical trial 20 volunteers with LDL (bad) cholesterol levels of 140 mg/dl were randomly assigned to one of the four medications. The subjects were instructed to take one tablet per day for a period of three months after which their LDL levels were again measured. Below are the amounts (in mg/dl) by which the LDL levels decreased after the three month trial. Medication A Medication B Medication C Medication D 31 30 31 30 32 31.5 32 35 29 30.5 29.75 27 33 30.5 31.75 31 29 31.5 33 29 (d) What assumptions are needed to make this test valid? (e) If a key assumption in (d) is not satisfied, test if the data provide sufficient ev- idence to indicate that at least one of the medications produces a mean reduc- tion in LDL cholesterol that is different from any of the other medications using a non-parametric method (show all working and include appropriate hypothesis statements). (f) Test if there is any significant difference in the mean reduction in LDL cholesterol using Medication A compared with Medication D (show all working and include appropriate hypothesis statements).
A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C and D) on people at high risk of heart attack. For this clinical trial 20 volunteers with LDL (bad) cholesterol levels of 140 mg/dl were randomly assigned to one of the four medications. The subjects were instructed to take one tablet per day for a period of three months after which their LDL levels were again measured. Below are the amounts (in mg/dl) by which the LDL levels decreased after the three month trial. Medication A Medication B Medication C Medication D 31 30 31 30 32 31.5 32 35 29 30.5 29.75 27 33 30.5 31.75 31 29 31.5 33 29 (d) What assumptions are needed to make this test valid? (e) If a key assumption in (d) is not satisfied, test if the data provide sufficient ev- idence to indicate that at least one of the medications produces a mean reduc- tion in LDL cholesterol that is different from any of the other medications using a non-parametric method (show all working and include appropriate hypothesis statements). (f) Test if there is any significant difference in the mean reduction in LDL cholesterol using Medication A compared with Medication D (show all working and include appropriate hypothesis statements).
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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