(a) Consider a t distribution with 3 degrees of freedom. Compute P (t≥ 1.96). Round your answer to at least three decimal places. P(t≥ 1.96) = (b) Consider a t distribution with 22 degrees of freedom. Find the value of c such that P(-c
(a) Consider a t distribution with 3 degrees of freedom. Compute P (t≥ 1.96). Round your answer to at least three decimal places. P(t≥ 1.96) = (b) Consider a t distribution with 22 degrees of freedom. Find the value of c such that P(-c
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 6SGR
Related questions
Question
![### Problem Set: t Distribution
#### Problem (a)
**Question:**
Consider a t distribution with 3 degrees of freedom. Compute \( P(t \ge 1.96) \). Round your answer to at least three decimal places.
\[ P(t \ge 1.96) = \boxed{} \]
#### Problem (b)
**Question:**
Consider a t distribution with 22 degrees of freedom. Find the value of \( c \) such that \( P(-c \le t \le c) = 0.99 \). 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%2F7aa4d27f-7b52-4b0f-8f91-aa9dbff6a7be%2Fqnem1_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Set: t Distribution
#### Problem (a)
**Question:**
Consider a t distribution with 3 degrees of freedom. Compute \( P(t \ge 1.96) \). Round your answer to at least three decimal places.
\[ P(t \ge 1.96) = \boxed{} \]
#### Problem (b)
**Question:**
Consider a t distribution with 22 degrees of freedom. Find the value of \( c \) such that \( P(-c \le t \le c) = 0.99 \). Round your answer to at least three decimal places.
\[ c = \boxed{} \]
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