2. (20 points) It is very important that treatments are developed to save the lives of those who are critically ill from COVID-19. Critically ill patients often require mechanical ventilators, which use positive pressure to assist or push a breath into the lungs. Pressure Support is a common type of breathing support used when a patient needs partial support. The amount of Pressure Support delivered is measured in cm H₂O and ranges between 5 (minimal support) and 30 (total support). Source: London Health Sciences Centre. Suppose that a new treatment is being tested and a simple random sample of 12 patients who are on mechanical ventilators and receive the treatment are selected. The following table shows the Pressure Support levels, in cm H₂O, required before the treatment and two days after the treatment for the 12 different patients. Patient Pressure Support Before Treatment Pressure Support After Treatment Difference d A B 28 20 26 20 C 21 16 D 18 21 E 24 21 F 30 30 G 9 6 H 15 12 I 24 22 J 17 11 K 20 20 L 11 7 Use a 0.01 significance level to test the claim that there is a reduction in Pressure Support (and hence an improvement in condition) using this new treatment. Assume that the differences have a normal distribution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Find the p value or classical approach using CLT
2. (20 points) It is very important that treatments are developed to save the lives of those who are
critically ill from COVID-19. Critically ill patients often require mechanical ventilators, which use
positive pressure to assist or push a breath into the lungs. Pressure Support is a common type of
breathing support used when a patient needs partial support. The amount of Pressure Support
delivered is measured in cm H₂O and ranges between 5 (minimal support) and 30 (total support).
Source: London Health Sciences Centre. Suppose that a new treatment is being tested and a simple
random sample of 12 patients who are on mechanical ventilators and receive the treatment are
selected. The following table shows the Pressure Support levels, in cm H₂O, required before the
treatment and two days after the treatment for the 12 different patients.
Patient
Pressure Support
Before Treatment
Pressure Support
After Treatment
Difference d
A
28
26
B
20
C
D
21 18
20 16 21
E
24
21
F
30
30
G
9
6
H
15
12
1
24
22
J
17
11
K
20
20
L
11
7
Use a 0.01 significance level to test the claim that there is a reduction in Pressure Support (and hence
an improvement in condition) using this new treatment. Assume that the differences have a normal
distribution.
Transcribed Image Text:2. (20 points) It is very important that treatments are developed to save the lives of those who are critically ill from COVID-19. Critically ill patients often require mechanical ventilators, which use positive pressure to assist or push a breath into the lungs. Pressure Support is a common type of breathing support used when a patient needs partial support. The amount of Pressure Support delivered is measured in cm H₂O and ranges between 5 (minimal support) and 30 (total support). Source: London Health Sciences Centre. Suppose that a new treatment is being tested and a simple random sample of 12 patients who are on mechanical ventilators and receive the treatment are selected. The following table shows the Pressure Support levels, in cm H₂O, required before the treatment and two days after the treatment for the 12 different patients. Patient Pressure Support Before Treatment Pressure Support After Treatment Difference d A 28 26 B 20 C D 21 18 20 16 21 E 24 21 F 30 30 G 9 6 H 15 12 1 24 22 J 17 11 K 20 20 L 11 7 Use a 0.01 significance level to test the claim that there is a reduction in Pressure Support (and hence an improvement in condition) using this new treatment. Assume that the differences have a normal distribution.
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