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Let X1, X₂, ..., Xn be a random sample from a normal distribution with unknown meanu and known variance 2. Which statement is correct? X-μ (1) is a pivotal quantity for and a 100(1-a)% confidence interval for based on that is ± % o/√n μ √n X-μ is a pivotal quantity for μ and a 100(1-a)% confidence interval for based on that is fl o/√n X ± %α/2] (III) is a pivotal quantity for μ and a 100(1- a) % confidence interval for based on that is S X ±tn-1,a/2 √² X-μ S/√ X-μ (IV) is a pivotal quantity for and a 100(1-a)% confidence interval for based on that is S/√√T X±tn-1,a O (1) O (III) O (IV) (1)

Let X1, X₂, ..., Xn be a random sample from a normal distribution with unknown meanu and known variance 2. Which statement is correct? X-μ (1) is a pivotal quantity for and a 100(1-a)% confidence interval for based on that is ± % o/√n μ √n X-μ is a pivotal quantity for μ and a 100(1-a)% confidence interval for based on that is fl o/√n X ± %α/2] (III) is a pivotal quantity for μ and a 100(1- a) % confidence interval for based on that is S X ±tn-1,a/2 √² X-μ S/√ X-μ (IV) is a pivotal quantity for and a 100(1-a)% confidence interval for based on that is S/√√T X±tn-1,a O (1) O (III) O (IV) (1)

MATLAB: An Introduction with Applications
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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[STATISTICS] MULTIPLE CHOICE: Which option is correct?

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Let X1, X₂, ..., Xn be a random sample from a normal distribution with unknown mean μ and known variance 2. Which statement is correct? x-μ (1) is a pivotal quantity for μ and a 100(1 – a)% confidence interval for μ based on that is X ± % o/√√√n X-μ (11) is a pivotal quantity for μ and a 100(1 – a)% confidence interval for based on that is o/√√n X± %α/2] X-μ (III) is a pivotal quantity for μ and a 100(1 – a)% confidence interval for μ based on that is S√√n Ñ ±tn-1,0/2 √² X-H S/√√n X1tn-1,a (IV) is a pivotal quantity for μ and a 100(1 — a) % confidence interval for μ based on that is S √n O (1) O (III) O (IV) O (II) o √n
Transcribed Image Text:Let X1, X₂, ..., Xn be a random sample from a normal distribution with unknown mean μ and known variance 2. Which statement is correct? x-μ (1) is a pivotal quantity for μ and a 100(1 – a)% confidence interval for μ based on that is X ± % o/√√√n X-μ (11) is a pivotal quantity for μ and a 100(1 – a)% confidence interval for based on that is o/√√n X± %α/2] X-μ (III) is a pivotal quantity for μ and a 100(1 – a)% confidence interval for μ based on that is S√√n Ñ ±tn-1,0/2 √² X-H S/√√n X1tn-1,a (IV) is a pivotal quantity for μ and a 100(1 — a) % confidence interval for μ based on that is S √n O (1) O (III) O (IV) O (II) o √n
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