Stats questionConstruct a 95% confidence interval estimate of the population standard deviation AВCDF1138MeanStandard deviation130Point estimate133.9285714Point estimate9.0423302453135Confidence levelConfidence levelAlphaCritical ValueAlpha4140120125ErrorCritical Values7120Confidence intervalConfidence interval8130Lower limitLower limit130Upper limitUpper limit10144111431214013130141501516

Answered: Construct a 95% confidence interval…

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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Stats question

Construct a 95% confidence interval estimate of the population standard deviation

A
В
C
D
F
1
138
Mean
Standard deviation
130
Point estimate
133.9285714
Point estimate
9.042330245
3
135
Confidence level
Confidence level
Alpha
Critical Value
Alpha
4
140
120
125
Error
Critical Values
7
120
Confidence interval
Confidence interval
8
130
Lower limit
Lower limit
130
Upper limit
Upper limit
10
144
11
143
12
140
13
130
14
150
15
16

Expert Solution

Step 1

The sample size is n=14.

The degrees of freedom is (n-1)=13.

For a 95% confidence interval, α=0.05. It provides 2.5% of the area at each end of the Chi-square distribution.

Find the critical Chi-square value for the degrees of freedom of 13 and the corresponding probability level from the Chi-square distribution table as follows:

For the probability level of 0.025 and 0.975:

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