Use the calculator provided to solve the following problems. • Consider a t distribution with 13 degrees of freedom. Compute P(121.66) Round your answer to at least three decimal places. • Consider at distribution with 21 degrees of freedom. Find the value of c such that p(-c
Use the calculator provided to solve the following problems. • Consider a t distribution with 13 degrees of freedom. Compute P(121.66) Round your answer to at least three decimal places. • Consider at distribution with 21 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
Related questions
Question
![Use the calculator provided to solve the following problems.
- Consider a \( t \) distribution with \( 13 \) degrees of freedom. Compute \( P(t \geq 1.66) \). Round your answer to at least three decimal places.
- Consider a \( t \) distribution with \( 21 \) 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.
The diagram includes a simple input interface with two empty fields:
1. \( P(t \geq 1.66) = \) [input box]
2. \( c = \) [input box]
Below the input boxes are three icons: a calculator, a reset icon, and a help icon.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e80406a-4ff1-4a57-8cbc-804a2a33684b%2Fccb272a9-485c-4143-beac-44c6479a01e2%2Fu2cxhjh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the calculator provided to solve the following problems.
- Consider a \( t \) distribution with \( 13 \) degrees of freedom. Compute \( P(t \geq 1.66) \). Round your answer to at least three decimal places.
- Consider a \( t \) distribution with \( 21 \) 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.
The diagram includes a simple input interface with two empty fields:
1. \( P(t \geq 1.66) = \) [input box]
2. \( c = \) [input box]
Below the input boxes are three icons: a calculator, a reset icon, and a help icon.
Expert Solution

Step 1
The degrees of freedom is 13.
Using the Excel formula “=T.DIST.RT(1.66,13)”, P(t ≥ 1.66) = 0.0604
The Excel output is given below:
Thus, P(t ≥ 1.66) = 0.0604
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman