(d) Use the defining formulas to compute the sample variance s² and sample standard deviation s. (e) Suppose the given data comprise the entire population of all x values. Compute the population variance o2 and population standard deviation o.
(d) Use the defining formulas to compute the sample variance s² and sample standard deviation s. (e) Suppose the given data comprise the entire population of all x values. Compute the population variance o2 and population standard deviation o.
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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Question
Please answer number 13: part d and e only!!
![### Critical Thinking: Outliers
One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 80.
(a) If a data set has mean 70 and standard deviation 5, is 80 a suspect outlier?
(b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier?
### Basic Computation: Variance, Standard Deviation
Given the sample data \(x\):
\[ 23 \quad 17 \quad 15 \quad 30 \quad 25 \]
(a) Find the range.
(b) Verify that \(\sum x = 110\) and \(\sum x^2 = 2568\).
(c) Use the results of part (b) and appropriate computation formulas to compute the sample variance \(s^2\) and sample standard deviation \(s\).
(d) Use the defining formulas to compute the sample variance \(s^2\) and sample standard deviation \(s\).
(e) Suppose the given data comprise the entire population of all \(x\) values. Compute the population variance \(\sigma^2\) and population standard deviation \(\sigma\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f8a2f38-e81c-44ad-a4de-e9efb4a606bb%2F8ec28ca0-5323-40db-b752-9616a8746ad9%2Fzhmjk3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Critical Thinking: Outliers
One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 80.
(a) If a data set has mean 70 and standard deviation 5, is 80 a suspect outlier?
(b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier?
### Basic Computation: Variance, Standard Deviation
Given the sample data \(x\):
\[ 23 \quad 17 \quad 15 \quad 30 \quad 25 \]
(a) Find the range.
(b) Verify that \(\sum x = 110\) and \(\sum x^2 = 2568\).
(c) Use the results of part (b) and appropriate computation formulas to compute the sample variance \(s^2\) and sample standard deviation \(s\).
(d) Use the defining formulas to compute the sample variance \(s^2\) and sample standard deviation \(s\).
(e) Suppose the given data comprise the entire population of all \(x\) values. Compute the population variance \(\sigma^2\) and population standard deviation \(\sigma\).
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