For the provided sample​ mean, sample​ size, and population standard​ deviation, complete parts​ (a) through​ (c) below. Assume that x is normally distributed.   x=31 n=9 σ=6   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, 31.   B. We can be​ 95% confident that any possible value of the variable is within the margin of error of the sample​ mean, 31.   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 sample mean is within the margin of error of 31.   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
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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For the provided sample​ mean, sample​ size, and population standard​ deviation, complete parts​ (a) through​ (c) below. Assume that x is normally distributed.
 
x=31
n=9
σ=6
 
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, 31.
 
B. We can be​ 95% confident that any possible value of the variable is within the margin of error of the sample​ mean, 31.
 
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 sample mean is within the margin of error of 31.
 
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.)
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