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tion with 2 degrees of freedom. Find hree decimal places.

tion with 2 degrees of freedom. Find hree decimal places.

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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### Statistical Problem on T Distribution **Problem Statement:** Consider a \( t \) distribution with 2 degrees of freedom. Find the value of \( c \) such that \( P(-c < t < c) = 0.99 \). Round your answer to at least three decimal places. Equation: \[ c = \boxed{} \] This problem requires you to find a critical value \( c \) from the Student's \( t \)-distribution table for 2 degrees of freedom such that the probability \( P(-c < t < c) \) is equal to 0.99. To solve this: 1. Refer to the \( t \)-distribution table for the cumulative probability that corresponds to \( 0.995 \) (since the table is typically for one tail). 2. Find the \( t \)-value, which is the value of \( c \). 3. Ensure the answer is rounded to at least three decimal places. --- For further guidance, please check the detailed tables and calculations on probability distribution in your textbook or relevant educational resources.
Transcribed Image Text:### Statistical Problem on T Distribution **Problem Statement:** Consider a \( t \) distribution with 2 degrees of freedom. Find the value of \( c \) such that \( P(-c < t < c) = 0.99 \). Round your answer to at least three decimal places. Equation: \[ c = \boxed{} \] This problem requires you to find a critical value \( c \) from the Student's \( t \)-distribution table for 2 degrees of freedom such that the probability \( P(-c < t < c) \) is equal to 0.99. To solve this: 1. Refer to the \( t \)-distribution table for the cumulative probability that corresponds to \( 0.995 \) (since the table is typically for one tail). 2. Find the \( t \)-value, which is the value of \( c \). 3. Ensure the answer is rounded to at least three decimal places. --- For further guidance, please check the detailed tables and calculations on probability distribution in your textbook or relevant educational resources.
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