Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 2 degrees of freedom. Compute P (t<1.91). Round your answer to at least three decimal places. P(t<1.91)=] (b) Consider at distribution with 11 degrees of freedom. Find the value of c such that P(-c
Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 2 degrees of freedom. Compute P (t<1.91). Round your answer to at least three decimal places. P(t<1.91)=] (b) Consider at distribution with 11 degrees of freedom. Find the value of c such that P(-c
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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![**Statistical Analysis Using t Distribution**
Using the ALEKS calculator, solve the following problems related to t distributions:
**(a)** Consider a t distribution with 2 degrees of freedom. Compute \( P(t \leq 1.91) \). Round your answer to at least three decimal places.
\[ P(t \leq 1.91) = \, \]
**(b)** Consider a t distribution with 11 degrees of freedom. Find the value of \( c \) such that \( P(-c < t < c) = 0.95 \). Round your answer to at least three decimal places.
\[ c = \, \]
In these problems, the task is to determine probabilities and critical values using the t distribution, which is commonly used in statistical analysis when dealing with small sample sizes or unknown population standard deviations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d3f2bfb-a5cc-4b06-99e2-b36f9d38db79%2F67563b8b-6161-4374-b9bc-c3ebea04338a%2Fxy4g8c8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Analysis Using t Distribution**
Using the ALEKS calculator, solve the following problems related to t distributions:
**(a)** Consider a t distribution with 2 degrees of freedom. Compute \( P(t \leq 1.91) \). Round your answer to at least three decimal places.
\[ P(t \leq 1.91) = \, \]
**(b)** Consider a t distribution with 11 degrees of freedom. Find the value of \( c \) such that \( P(-c < t < c) = 0.95 \). Round your answer to at least three decimal places.
\[ c = \, \]
In these problems, the task is to determine probabilities and critical values using the t distribution, which is commonly used in statistical analysis when dealing with small sample sizes or unknown population standard deviations.
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