(a) Consider a t distribution with 16 degrees of freedom. Compute P(-1.96 < t < 1.96). Round your answer to at least three decimal places. P(-1.96 < t < 1.96) = (b) Consider a t distribution with 3 degrees of freedom. Find the value of c such that P (t≥ c) = 0.01. Round your answer to at least three decimal places. c = 0
(a) Consider a t distribution with 16 degrees of freedom. Compute P(-1.96 < t < 1.96). Round your answer to at least three decimal places. P(-1.96 < t < 1.96) = (b) Consider a t distribution with 3 degrees of freedom. Find the value of c such that P (t≥ c) = 0.01. Round your answer to at least three decimal places. c = 0
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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![### Example Questions on t Distributions
#### Problem (a)
Consider a **t distribution** with **16 degrees of freedom**. Compute \( P(-1.96 < t < 1.96) \). Round your answer to at least three decimal places.
\[ P(-1.96 < t < 1.96) = \boxed{} \]
#### Problem (b)
Consider a **t distribution** with **3 degrees of freedom**. Find the value of \( c \) such that \( P(t \geq c) = 0.01 \). Round your answer to at least three decimal places.
\[ c = \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50a93c10-85d4-41d2-a577-62aadf58513c%2F3f0539b6-16c2-44ac-8dad-9902e3271e51%2F87i2lc3i_processed.png&w=3840&q=75)
Transcribed Image Text:### Example Questions on t Distributions
#### Problem (a)
Consider a **t distribution** with **16 degrees of freedom**. Compute \( P(-1.96 < t < 1.96) \). Round your answer to at least three decimal places.
\[ P(-1.96 < t < 1.96) = \boxed{} \]
#### Problem (b)
Consider a **t distribution** with **3 degrees of freedom**. Find the value of \( c \) such that \( P(t \geq c) = 0.01 \). Round your answer to at least three decimal places.
\[ c = \boxed{} \]
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