For the provided sample​ mean, sample​ size, and population standard​ deviation, complete parts​ (a) through​ (c) below.   x=36​, n=64​, σ=2   a. Find a​ 95% confidence interval for the population mean.   The​ 95% confidence interval is from _______ to _________. ​(Round to two decimal places as​ needed.)   b. Identify and interpret the margin of error.   The margin of error is _________ ​(Round to two decimal places as​ needed.)   Interpret the margin of error. Choose the correct answer below.   A. We can be​ 95% confident that the population​ mean, μ​, is within the margin of error of the sample​ mean, 36.   B. We can be​ 95% confident that any possible sample mean is within the margin of error of 36.   C. We can be​ 95% confident that any possible value of the variable is within the margin of error of the population​ mean, μ.   D. We can be​ 95% confident that any possible value of the variable is within the margin of error of the sample​ mean, 36.   c. Express the endpoints of the confidence interval in terms of the point estimate and the margin of error.   The​ 95% confidence interval is _________±____________ ​(Round to two decimal places as​ needed.)

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
For the provided sample​ mean, sample​ size, and population standard​ deviation, complete parts​ (a) through​ (c) below.
 
x=36​,
n=64​,
σ=2
 
a. Find a​ 95% confidence interval for the population mean.
 
The​ 95% confidence interval is from _______ to _________.
​(Round to two decimal places as​ needed.)
 
b. Identify and interpret the margin of error.
 
The margin of error is _________
​(Round to two decimal places as​ needed.)
 
Interpret the margin of error. Choose the correct answer below.
 
A. We can be​ 95% confident that the population​ mean, μ​,
is within the margin of error of the sample​ mean, 36.
 
B. We can be​ 95% confident that any possible sample mean is within the margin of error of 36.
 
C. We can be​ 95% confident that any possible value of the variable is within the margin of error of the population​ mean, μ.
 
D. We can be​ 95% confident that any possible value of the variable is within the margin of error of the sample​ mean, 36.
 
c. Express the endpoints of the confidence interval in terms of the point estimate and the margin of error.
 
The​ 95% confidence interval is _________±____________
​(Round to two decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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