Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.01 significance level to test for a difference between the measurements from the two arms. Identify the test statistic and p-value.     A. T = -4.01, p-value = 0.016   B. T = -3.07, p-value = 0.037   C. T = -2.32, p-value = 0.081   D. T = -1.93, p-value = 0.127

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.01 significance level to test for a difference between the measurements from the two arms. Identify the test statistic and p-value.

 

  A.

T = -4.01, p-value = 0.016

  B.

T = -3.07, p-value = 0.037

  C.

T = -2.32, p-value = 0.081

  D.

T = -1.93, p-value = 0.127

### Systolic Blood Pressure Analysis

#### Data Overview

The following are systolic blood pressure measurements (in mm Hg) taken from the right and left arms of the same woman. These measurements are used to test if there is a significant difference between the two arms.

**Right Arm Measurements:**
- 146, 136, 114, 130, 136

**Left Arm Measurements:**
- 165, 177, 187, 146, 135

#### Statistical Analysis

The goal is to determine if there is a statistically significant difference between the blood pressure readings from the two arms using a significance level of 0.01. We assume the data is a simple random sample and that the differences follow a normal distribution.

#### Possible Test Statistics and p-values

Choose the appropriate test statistic and p-value:

- **A.** T = -4.01, p-value = 0.016
- **B.** T = 3.07, p-value = 0.037
- **C.** T = 2.32, p-value = 0.081
- **D.** T = -1.93, p-value = 0.127

### Explanation

To determine if there's a significant difference, compare the test statistics and p-values against the significance level (0.01). The closer the p-value is to the significance level, the more likely it is to indicate a significant difference in measurements between the two arms.
Transcribed Image Text:### Systolic Blood Pressure Analysis #### Data Overview The following are systolic blood pressure measurements (in mm Hg) taken from the right and left arms of the same woman. These measurements are used to test if there is a significant difference between the two arms. **Right Arm Measurements:** - 146, 136, 114, 130, 136 **Left Arm Measurements:** - 165, 177, 187, 146, 135 #### Statistical Analysis The goal is to determine if there is a statistically significant difference between the blood pressure readings from the two arms using a significance level of 0.01. We assume the data is a simple random sample and that the differences follow a normal distribution. #### Possible Test Statistics and p-values Choose the appropriate test statistic and p-value: - **A.** T = -4.01, p-value = 0.016 - **B.** T = 3.07, p-value = 0.037 - **C.** T = 2.32, p-value = 0.081 - **D.** T = -1.93, p-value = 0.127 ### Explanation To determine if there's a significant difference, compare the test statistics and p-values against the significance level (0.01). The closer the p-value is to the significance level, the more likely it is to indicate a significant difference in measurements between the two arms.
Expert Solution
Step 1: Given information

n=5,α=0.01


steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman