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
Related questions
Question
![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
29
31
30
31
30.5
30
32
31.5
30.5
32
31.75
35
31
29.75
27
33
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1488de45-ffe6-488c-9535-0eb4dd2a544b%2Faf911980-842c-42b8-b7b5-2b2e3521ec14%2Feux6wdz_processed.png&w=3840&q=75)
Transcribed Image Text: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
29
31
30
31
30.5
30
32
31.5
30.5
32
31.75
35
31
29.75
27
33
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).
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