According to a 2018 survey of student loan debt incurred to finance undergraduate education, the statistics are: X̅  = $25,786.74, the presumed population standard deviation is $9,155.70, and n = 1,000. Please Note: The t-value with 999 degrees of freedom is 1.962.      1. Which standardized score is more appropriate: z-values or student-t?           Explain your answer.      2. What would happen to the confidence interval if you changed the               level of confidence to 99%?     3. What would happen to the confidence interval if you increase the                sample size?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

According to a 2018 survey of student loan debt incurred to finance undergraduate

education, the statistics are: X̅  = $25,786.74, the presumed population standard

deviation is $9,155.70, and n = 1,000. Please Note: The t-value with 999 degrees of freedom is 1.962.

     1. Which standardized score is more appropriate: z-values or student-t?           Explain your answer.

     2. What would happen to the confidence interval if you changed the               level of confidence to 99%?

    3. What would happen to the confidence interval if you increase the                sample size?

 

 

 

Expert Solution
Step 1

Given:

 X̅ = $25,786.74

σ=$9155.70

n = 1000

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman