### Transcription for Educational Website:#### Problem AConsider a t-distribution with 22 degrees of freedom. Compute:\[ P(t \leq -1.81) \]Round the answer to at least three decimal places.#### Problem BConsider a t-distribution with 11 degrees of freedom. Find the value \( C \) such that:\[ P(-C < t < C) = 0.90 \]Round your answer to at least three decimal places.---By following the methods for t-distributions, students should be able to solve these problems effectively. Use appropriate t-tables or statistical software to find the critical values and the probabilities required.

A) The degrees of freedom is 22.

A) Consider a t distribution with 22 degrees of Freedom. compute P(t ≤ - 1.81) = round the answer to at least three decimal places. B) Consider a t distribution with il degrees of freedom. Find the value & such that P(-c<+

A) Consider a t distribution with 22 degrees of Freedom. compute P(t ≤ - 1.81) = round the answer to at least three decimal places. B) Consider a t distribution with il degrees of freedom. Find the value & such that P(-c<+

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 8CT

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Question

### Transcription for Educational Website:

#### Problem A
Consider a t-distribution with 22 degrees of freedom. Compute:
\[ P(t \leq -1.81) \]

Round the answer to at least three decimal places.

#### Problem B
Consider a t-distribution with 11 degrees of freedom. Find the value \( C \) such that:
\[ P(-C < t < C) = 0.90 \]

Round your answer to at least three decimal places.

---

By following the methods for t-distributions, students should be able to solve these problems effectively. Use appropriate t-tables or statistical software to find the critical values and the probabilities required.

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