(b) Let n 1 - n ² ₁ Σ(x₁ - x) ². = i=1 Determine Var(s), that is, the variance of the sample variance. (c) Assume now that we have observed data x₁,..., n E R with sample variance s². Use the result from part (a) to find numbers an and bn, such that [ans, bns] is an exact 95%-confidence interval for ².
(b) Let n 1 - n ² ₁ Σ(x₁ - x) ². = i=1 Determine Var(s), that is, the variance of the sample variance. (c) Assume now that we have observed data x₁,..., n E R with sample variance s². Use the result from part (a) to find numbers an and bn, such that [ans, bns] is an exact 95%-confidence interval for ².
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
can you please help me with parts b and c
![B4. Let X₁,...Xn ~ N(μ, o²) be independent random variables.
n
Σ(x - 1)²
·X) ² ~ x ²²
Xi
O
i=1
(a) From lectures we know
(b) Let
=
1
n 1
x²(v). What is the value of ?
n
Σ(x₁ - x)².
i=1
Determine Var(s), that is, the variance of the sample variance.
(c) Assume now that we have observed data ₁,..., în E R with sample variance s².
Use the result from part (a) to find numbers an and bn, such that [ans, bns] is
an exact 95%-confidence interval for ².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4061eb31-6ba2-4539-9b51-dd7b05481e7e%2F00b30555-2cbd-455d-afcd-9c235d8234ae%2F1gbypmq_processed.png&w=3840&q=75)
Transcribed Image Text:B4. Let X₁,...Xn ~ N(μ, o²) be independent random variables.
n
Σ(x - 1)²
·X) ² ~ x ²²
Xi
O
i=1
(a) From lectures we know
(b) Let
=
1
n 1
x²(v). What is the value of ?
n
Σ(x₁ - x)².
i=1
Determine Var(s), that is, the variance of the sample variance.
(c) Assume now that we have observed data ₁,..., în E R with sample variance s².
Use the result from part (a) to find numbers an and bn, such that [ans, bns] is
an exact 95%-confidence interval for ².
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