Calculate the following probabilities. We do NOT know the degrees of freedom. 1) Find P(T > to.29(df)). 2) Find P(T < to.9(df). 3) Find P( – to.12(df) < T < to.31(df). 4) Find P(T < to.19(df)). -
Calculate the following probabilities. We do NOT know the degrees of freedom. 1) Find P(T > to.29(df)). 2) Find P(T < to.9(df). 3) Find P( – to.12(df) < T < to.31(df). 4) Find P(T < to.19(df)). -
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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![### Probability Calculations Without Known Degrees of Freedom
Calculate the following probabilities. We do NOT know the degrees of freedom.
1) Find \( P(T > t_{0.29}(\text{df})) \).
[Input your answer in the box provided]
2) Find \( P(T < t_{0.9}(\text{df})) \).
[Input your answer in the box provided]
3) Find \( P( - t_{0.12}(\text{df}) < T < t_{0.31}(\text{df})) \).
[Input your answer in the box provided]
4) Find \( P(T < - t_{0.19}(\text{df})) \).
[Input your answer in the box provided]
### Explanation:
The task involves calculating certain probabilities related to the t-distribution without having the specific degrees of freedom. This type of problem is commonly encountered in statistics, particularly when dealing with small sample sizes. Typically, these calculations would make use of a t-table or statistical software to determine the appropriate values based on the given probabilities (e.g., \(0.29\), \(0.9\), etc.).
Each sub-question asks for a particular probability, involving the critical t-value corresponding to a specific probability level denoted within the subscript.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F699994d7-16e4-474d-b91b-175e045f5d68%2F4159427a-42d8-4e39-82e6-e18339b598c9%2F06zxamm_processed.png&w=3840&q=75)
Transcribed Image Text:### Probability Calculations Without Known Degrees of Freedom
Calculate the following probabilities. We do NOT know the degrees of freedom.
1) Find \( P(T > t_{0.29}(\text{df})) \).
[Input your answer in the box provided]
2) Find \( P(T < t_{0.9}(\text{df})) \).
[Input your answer in the box provided]
3) Find \( P( - t_{0.12}(\text{df}) < T < t_{0.31}(\text{df})) \).
[Input your answer in the box provided]
4) Find \( P(T < - t_{0.19}(\text{df})) \).
[Input your answer in the box provided]
### Explanation:
The task involves calculating certain probabilities related to the t-distribution without having the specific degrees of freedom. This type of problem is commonly encountered in statistics, particularly when dealing with small sample sizes. Typically, these calculations would make use of a t-table or statistical software to determine the appropriate values based on the given probabilities (e.g., \(0.29\), \(0.9\), etc.).
Each sub-question asks for a particular probability, involving the critical t-value corresponding to a specific probability level denoted within the subscript.
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