From the side-by-side boxplots for the heart rate of males and females, do there seem to be any differences? Based on the 95% CI, is there gender difference in average body heart rate? Explain.
From the side-by-side boxplots for the heart rate of males and females, do there seem to be any differences? Based on the 95% CI, is there gender difference in average body heart rate? Explain.
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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From the side-by-side boxplots for the heart rate of males and females, do there seem to be any differences?
-
Based on the 95% CI, is there gender difference in average body heart rate? Explain.
![## Oneway Analysis of Heart Rate by Gender
### Boxplot Analysis
The boxplot illustrates the distribution of heart rates (HEARTRAT) for two gender categories: Female (F) and Male (M).
- **Y-Axis (HEARTRAT):** Represents the heart rate values, ranging from 60 to 90.
- **X-Axis (GENDER):** Represents two categories, Female (F) and Male (M).
Each boxplot shows:
- **Median (Horizontal Line inside the Box):**
- F: Approximately 75
- M: Approximately 73
- **Interquartile Range (IQR - Box):** Represents the middle 50% of data.
- **Whiskers:** Indicate variability outside the upper and lower quartiles.
- **Individual Data Points:** Represented by dots, show the distribution within each gender category.
### Statistical Summary
#### Means and Standard Deviations
- **Female (F):**
- *Number:* 65
- *Mean:* 74.153846
- *Standard Deviation (Std Dev):* 8.1052274
- *Standard Error Mean:* 1.0053297
- *95% Confidence Interval:* [72.145469, 76.162223]
- **Male (M):**
- *Number:* 65
- *Mean:* 73.369231
- *Standard Deviation (Std Dev):* 5.8751841
- *Standard Error Mean:* 0.7287269
- *95% Confidence Interval:* [71.913431, 74.82503]
#### t-Test
- **Comparison (M-F):** Assuming unequal variances.
- *Difference in Means:* -0.7846
- *t Ratio:* -0.63191
- *Degrees of Freedom (DF):* 116.7044
- **Confidence Intervals:**
- *Upper CL Difference:* 1.6745
- *Lower CL Difference:* -3.2437
- *Confidence Level:* 0.95
- **Probability Values:**
- *Prob > |t|:* 0.5287
- *Prob > t:* 0.7357
- *Prob < t:* 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb999952-b755-4575-afad-96c86321774a%2F8d9af7b3-6b03-4ac8-a406-463036f3b3c9%2Ferdpo0a_processed.png&w=3840&q=75)
Transcribed Image Text:## Oneway Analysis of Heart Rate by Gender
### Boxplot Analysis
The boxplot illustrates the distribution of heart rates (HEARTRAT) for two gender categories: Female (F) and Male (M).
- **Y-Axis (HEARTRAT):** Represents the heart rate values, ranging from 60 to 90.
- **X-Axis (GENDER):** Represents two categories, Female (F) and Male (M).
Each boxplot shows:
- **Median (Horizontal Line inside the Box):**
- F: Approximately 75
- M: Approximately 73
- **Interquartile Range (IQR - Box):** Represents the middle 50% of data.
- **Whiskers:** Indicate variability outside the upper and lower quartiles.
- **Individual Data Points:** Represented by dots, show the distribution within each gender category.
### Statistical Summary
#### Means and Standard Deviations
- **Female (F):**
- *Number:* 65
- *Mean:* 74.153846
- *Standard Deviation (Std Dev):* 8.1052274
- *Standard Error Mean:* 1.0053297
- *95% Confidence Interval:* [72.145469, 76.162223]
- **Male (M):**
- *Number:* 65
- *Mean:* 73.369231
- *Standard Deviation (Std Dev):* 5.8751841
- *Standard Error Mean:* 0.7287269
- *95% Confidence Interval:* [71.913431, 74.82503]
#### t-Test
- **Comparison (M-F):** Assuming unequal variances.
- *Difference in Means:* -0.7846
- *t Ratio:* -0.63191
- *Degrees of Freedom (DF):* 116.7044
- **Confidence Intervals:**
- *Upper CL Difference:* 1.6745
- *Lower CL Difference:* -3.2437
- *Confidence Level:* 0.95
- **Probability Values:**
- *Prob > |t|:* 0.5287
- *Prob > t:* 0.7357
- *Prob < t:* 0.
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