Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 24 degrees of freedom. Compute P (t≥1.60). Round your answer to at least three decimal places. P(t≥1.60)= (b) Consider a t distribution with 19 degrees of freedom. Find the value of c such that P(-c

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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# Using the ALEKS Calculator to Solve t-Distribution Problems

The following problems involve calculations using the t-distribution. Use the ALEKS calculator to find the solutions and round your answers to at least three decimal places.

## Problem (a)

Consider a **t-distribution** with 24 degrees of freedom. Compute the probability:

\[ P(t \geq 1.60) \]

Provide your answer rounded to at least three decimal places.

## Problem (b)

Consider a **t-distribution** with 19 degrees of freedom. Find the value of \( c \) such that:

\[ P(-c < t < c) = 0.95 \]

Provide your answer rounded to at least three decimal places.

---

Make sure to use the appropriate t-distribution tables or software tools to accurately determine these probabilities and critical values.
Transcribed Image Text:# Using the ALEKS Calculator to Solve t-Distribution Problems The following problems involve calculations using the t-distribution. Use the ALEKS calculator to find the solutions and round your answers to at least three decimal places. ## Problem (a) Consider a **t-distribution** with 24 degrees of freedom. Compute the probability: \[ P(t \geq 1.60) \] Provide your answer rounded to at least three decimal places. ## Problem (b) Consider a **t-distribution** with 19 degrees of freedom. Find the value of \( c \) such that: \[ P(-c < t < c) = 0.95 \] Provide your answer rounded to at least three decimal places. --- Make sure to use the appropriate t-distribution tables or software tools to accurately determine these probabilities and critical values.
Expert Solution
Step 1

(a) df=24, P(t≥1.60)=? 

(b) df=19, P(-c<t<c)=0.95 

 

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