(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
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Chapter10: Statistics
Section: Chapter Questions
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### 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.

\[ c = \boxed{} \]
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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