(a) 29 inches is standard deviation(s) away from 19 inches (Type an integer or decimal rounded to one decimal place as needed) (b) because 29 inches is (c) because 29 inches is 2 standard deviations away from 19 inches. 2 standard deviations away from 19 inches.
(a) 29 inches is standard deviation(s) away from 19 inches (Type an integer or decimal rounded to one decimal place as needed) (b) because 29 inches is (c) because 29 inches is 2 standard deviations away from 19 inches. 2 standard deviations away from 19 inches.
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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![### Understanding Standard Deviations in Statistical Analysis
**Is a measure of 29 inches "far away" from a mean of 19 inches?**
As someone with knowledge of statistics, you answer, "it depends" and request the standard deviation of the underlying data.
#### Exploring Different Scenarios:
(a) Suppose the data come from a sample whose standard deviation is 2 inches. How many standard deviations is 29 inches from 19 inches?
- **(a) \(29 \text{ inches is } \_\_\_\_\_ \text{ standard deviation(s) away from 19 inches.}**
(Type an integer or decimal rounded to one decimal place as needed.)
(b) Is 29 inches far away from a mean of 19 inches?
- **(b) Yes, because 29 inches is \[ \ \ \ ] 2 standard deviations away from 19 inches.**
(c) Suppose the standard deviation of the underlying data is 6 inches. Is 29 inches far away from a mean of 19 inches?
- **(c) No, because 29 inches is \[ \ \ \ ] 2 standard deviations away from 19 inches.**
**Graphs or Diagrams Explanation:**
There are no graphs or diagrams included in this context. The scenario presents a question involving standard deviations and the distance of a measure (29 inches) from the mean (19 inches) under different conditions of standard deviation for the data.
---
Here, students are encouraged to calculate the number of standard deviations a value (29 inches) is from the mean (19 inches) and determine if a value is considered "far away" based on the given information about standard deviations. This exercise helps in understanding the concept of standard deviations and its implications in data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86b4514-aa18-4e84-8d65-86fc6c642f07%2F9c21a6fe-0c77-4092-afa0-42e23e99df58%2Fskziirg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Standard Deviations in Statistical Analysis
**Is a measure of 29 inches "far away" from a mean of 19 inches?**
As someone with knowledge of statistics, you answer, "it depends" and request the standard deviation of the underlying data.
#### Exploring Different Scenarios:
(a) Suppose the data come from a sample whose standard deviation is 2 inches. How many standard deviations is 29 inches from 19 inches?
- **(a) \(29 \text{ inches is } \_\_\_\_\_ \text{ standard deviation(s) away from 19 inches.}**
(Type an integer or decimal rounded to one decimal place as needed.)
(b) Is 29 inches far away from a mean of 19 inches?
- **(b) Yes, because 29 inches is \[ \ \ \ ] 2 standard deviations away from 19 inches.**
(c) Suppose the standard deviation of the underlying data is 6 inches. Is 29 inches far away from a mean of 19 inches?
- **(c) No, because 29 inches is \[ \ \ \ ] 2 standard deviations away from 19 inches.**
**Graphs or Diagrams Explanation:**
There are no graphs or diagrams included in this context. The scenario presents a question involving standard deviations and the distance of a measure (29 inches) from the mean (19 inches) under different conditions of standard deviation for the data.
---
Here, students are encouraged to calculate the number of standard deviations a value (29 inches) is from the mean (19 inches) and determine if a value is considered "far away" based on the given information about standard deviations. This exercise helps in understanding the concept of standard deviations and its implications in data analysis.
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