A survey was administered to 50 tertiary students to investigate how many hours of charity work they complete during the semester. A brief extract of this study’s findings are as follows: The survey of 50 students provides a sample mean of 30.4, with a 95% confidence interval between 15.4 and 45.4. Which of the following is a valid interpretation of the reported confidence interval? There is a 95% probability that the true average number of hours spent doing charity work during the semester is between 15.4 and 45.4 hours.   We are 95% confident that the average number of hours spent doing charity work during the semester by students in this sample is between 15.4 and 45.4 hours.   There is a 95% probability that a randomly selected student did charity work between 15.4 and 45.4 hours during the semester.

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
Question

A survey was administered to 50 tertiary students to investigate how many hours of charity work they complete during the semester. A brief extract of this study’s findings are as follows:

The survey of 50 students provides a sample mean of 30.4, with a 95% confidence interval between 15.4 and 45.4.

Which of the following is a valid interpretation of the reported confidence interval?

There is a 95% probability that the true average number of hours spent doing charity work during the semester is between 15.4 and 45.4 hours.
 
We are 95% confident that the average number of hours spent doing charity work during the semester by students in this sample is between 15.4 and 45.4 hours.
 
There is a 95% probability that a randomly selected student did charity work between 15.4 and 45.4 hours during the semester.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
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