certain group of test subjects had pulse rates with a mean of 73.8 beats per minute and a standard deviation of 13.1 beats per minute. Use the range rule of thumb or identifying significant values to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 120.0 beats per minute ignificantly low or significantly high? Significantly low values are beats per minute or lower. Type an integer or a decimal. Do not round.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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### Understanding Pulse Rate Variability in Test Subjects

A certain group of test subjects had pulse rates measured with the following characteristics:
- **Mean Pulse Rate:** 73.8 beats per minute (bpm)
- **Standard Deviation:** 13.1 beats per minute (bpm)

To determine what constitutes significantly low or high pulse rates, we can apply the range rule of thumb. This rule gives us a method for identifying outliers by setting limits that mark significantly low or high values.

\[ \text{Significantly low values} \leq \text{Mean} - 2 \times \text{Standard Deviation} \]

\[ \text{Significantly high values} \geq \text{Mean} + 2 \times \text{Standard Deviation} \]

#### Example Calculation
To find if a pulse rate of 120.0 beats per minute is significantly high, follow these steps:

1. Calculate the limit for significantly low values.
   \[
   \text{Mean} - 2 \times \text{Standard Deviation} = 73.8 - (2 \times 13.1) = 73.8 - 26.2 = 47.6 \, \text{bpm}
   \]

2. Calculate the limit for significantly high values.
   \[
   \text{Mean} + 2 \times \text{Standard Deviation} = 73.8 + (2 \times 13.1) = 73.8 + 26.2 = 100 \, \text{bpm}
   \]

3. Compare the given value (120.0 bpm).
   Since 120.0 bpm is greater than 100 bpm, it is considered significantly high.

This help text allows users to determine whether a pulse rate is significantly low or high, using a simple statistical method.

---
#### Interactive Component

**Significantly low values are** ___ beats per minute or lower.
(*Type an integer or a decimal. Do not round.*)

---
This entry field allows users to input their calculations for significantly low pulse rates based on the given data.
Transcribed Image Text:### Understanding Pulse Rate Variability in Test Subjects A certain group of test subjects had pulse rates measured with the following characteristics: - **Mean Pulse Rate:** 73.8 beats per minute (bpm) - **Standard Deviation:** 13.1 beats per minute (bpm) To determine what constitutes significantly low or high pulse rates, we can apply the range rule of thumb. This rule gives us a method for identifying outliers by setting limits that mark significantly low or high values. \[ \text{Significantly low values} \leq \text{Mean} - 2 \times \text{Standard Deviation} \] \[ \text{Significantly high values} \geq \text{Mean} + 2 \times \text{Standard Deviation} \] #### Example Calculation To find if a pulse rate of 120.0 beats per minute is significantly high, follow these steps: 1. Calculate the limit for significantly low values. \[ \text{Mean} - 2 \times \text{Standard Deviation} = 73.8 - (2 \times 13.1) = 73.8 - 26.2 = 47.6 \, \text{bpm} \] 2. Calculate the limit for significantly high values. \[ \text{Mean} + 2 \times \text{Standard Deviation} = 73.8 + (2 \times 13.1) = 73.8 + 26.2 = 100 \, \text{bpm} \] 3. Compare the given value (120.0 bpm). Since 120.0 bpm is greater than 100 bpm, it is considered significantly high. This help text allows users to determine whether a pulse rate is significantly low or high, using a simple statistical method. --- #### Interactive Component **Significantly low values are** ___ beats per minute or lower. (*Type an integer or a decimal. Do not round.*) --- This entry field allows users to input their calculations for significantly low pulse rates based on the given data.
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