Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 128 adult males, the pulse rates have a standard deviation of 12.7 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm teger or a decimal. Do not round.)

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
Topic Video
Question
100%
**Educational Text Transcription**

---

**Title:** Hypothesis Testing for the Standard Deviation of Pulse Rates

**Claim:** 
The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 128 adult males, the pulse rates have a standard deviation of 12.7 bpm. Complete parts (a) and (b) below.

---

**Part (a):** Express the original claim in symbolic form.

---

**Solution:**
To express the claim that "the standard deviation of pulse rates of adult males is more than 12 bpm" in symbolic form, we use the following notation:
- \( \sigma \) represents the standard deviation.
- The inequality symbol for "more than" is \( > \).
- Given bpm (beats per minute) is the unit.

Thus, the claim can be expressed symbolically as:
\[ \sigma > 12 \]

(Note: Ensure that the standard deviation value is written as an integer or a decimal and do not round the value).

---

**Explanation of Visual Aids:**
- The provided image shows a dropdown menu for selecting the appropriate variable (in this case, \( \sigma \)), and boxes to enter the inequality symbol and the numeric value of the standard deviation.
- The dropdown menu includes options: \( \sigma \) (standard deviation), \( p \) (proportion), and \( \mu \) (mean).
- The final symbolic form should represent that the standard deviation \( \sigma \) is greater than 12 bpm.

---

This page serves to guide students in translating a verbal hypothesis into its symbolic form, which is crucial for setting up and conducting hypothesis tests, especially when comparing sample statistics to known or assumed population parameters.
Transcribed Image Text:**Educational Text Transcription** --- **Title:** Hypothesis Testing for the Standard Deviation of Pulse Rates **Claim:** The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 128 adult males, the pulse rates have a standard deviation of 12.7 bpm. Complete parts (a) and (b) below. --- **Part (a):** Express the original claim in symbolic form. --- **Solution:** To express the claim that "the standard deviation of pulse rates of adult males is more than 12 bpm" in symbolic form, we use the following notation: - \( \sigma \) represents the standard deviation. - The inequality symbol for "more than" is \( > \). - Given bpm (beats per minute) is the unit. Thus, the claim can be expressed symbolically as: \[ \sigma > 12 \] (Note: Ensure that the standard deviation value is written as an integer or a decimal and do not round the value). --- **Explanation of Visual Aids:** - The provided image shows a dropdown menu for selecting the appropriate variable (in this case, \( \sigma \)), and boxes to enter the inequality symbol and the numeric value of the standard deviation. - The dropdown menu includes options: \( \sigma \) (standard deviation), \( p \) (proportion), and \( \mu \) (mean). - The final symbolic form should represent that the standard deviation \( \sigma \) is greater than 12 bpm. --- This page serves to guide students in translating a verbal hypothesis into its symbolic form, which is crucial for setting up and conducting hypothesis tests, especially when comparing sample statistics to known or assumed population parameters.
### Educational Website Content

#### Data Entry for Heart Rate Analysis

When analyzing heart rate data, follow these instructions to input the correct values:

1. **Selecting the comparison operator:**
   - Click on the dropdown menu to choose the appropriate comparison operator for your heart rate data. The available options are:
     - `≠` (not equal to)
     - `>` (greater than)
     - `<` (less than)
     - `=` (equal to)

2. **Entering the heart rate value:**
   - After selecting the comparison operator, input the heart rate value in the provided text box.
   - Ensure the value is entered as an integer or a decimal without rounding.

3. **Unit of measurement:**
   - The unit for measuring heart rate is beats per minute (bpm).

Sample interface usage:

![Image](link_to_example_image)

- The first dropdown box is for selecting the comparison operator.
- The second box is where you enter the numerical heart rate value.

#### Example:
If you want to indicate that a certain heart rate should be greater than 75 bpm, you would:
1. Select `>` from the dropdown menu.
2. Enter `75` in the text box.

Please type the numerical value considering two decimal places if necessary, but do not round off the value.

---
*(Type an integer or a decimal. Do not round.)*
Transcribed Image Text:### Educational Website Content #### Data Entry for Heart Rate Analysis When analyzing heart rate data, follow these instructions to input the correct values: 1. **Selecting the comparison operator:** - Click on the dropdown menu to choose the appropriate comparison operator for your heart rate data. The available options are: - `≠` (not equal to) - `>` (greater than) - `<` (less than) - `=` (equal to) 2. **Entering the heart rate value:** - After selecting the comparison operator, input the heart rate value in the provided text box. - Ensure the value is entered as an integer or a decimal without rounding. 3. **Unit of measurement:** - The unit for measuring heart rate is beats per minute (bpm). Sample interface usage: ![Image](link_to_example_image) - The first dropdown box is for selecting the comparison operator. - The second box is where you enter the numerical heart rate value. #### Example: If you want to indicate that a certain heart rate should be greater than 75 bpm, you would: 1. Select `>` from the dropdown menu. 2. Enter `75` in the text box. Please type the numerical value considering two decimal places if necessary, but do not round off the value. --- *(Type an integer or a decimal. Do not round.)*
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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