A simple random sample of size n is drawn. The sample​ mean, x overbarx​, is found to be 18.71, and the sample standard​deviation, s, is found to be 4.4 LOADING... Click the icon to view the table of areas under the​ t-distribution. ​(a) Construct a 95% confidence interval about muμ if the sample​ size, n, is 34   Lower​ bound: 17.16 Upper​ bound: 20.24 ​(Use ascending order. Round to two decimal places as​ needed.) ​(b) Construct a 95% confidence interval about muμ if the sample​ size, n, is 61   Lower​ bound: 17.57 Upper​ bound: 19.83 ​(Use ascending order. Round to two decimal places as​ needed.) How does increasing the sample size affect the margin of​ error, E?     A. The margin of error does not change.   B. The margin of error increases.   C. The margin of error decreases. ​(c) Construct a 99% confidence interval about muμ if the sample​ size, n, is 34   Lower​ bound: 16.6416.64​; Upper​ bound: 20.7620.76 ​(Use ascending order. Round to two decimal places as​ needed.) Compare the results to those obtained in part​ (a). How does increasing the level of confidence affect the size of the margin of​ error, E?     A. The margin of error increases.   B. The margin of error does not change.   C. The margin of error decreases. ​(d) If the sample size is 1313​, what conditions must be satisfied to compute the confidence​ interval?     A. The sample data must come from a population that is normally distributed with no outliers.   B. The sample size must be large and the sample should not have any outliers.   C. The sample must come from a population that is normally distributed and the sample size must be large.   Click to select your answer(s).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A simple random sample of size n is drawn. The sample​ mean,
x overbarx​,
is found to be
18.71,
and the sample standard​deviation, s, is found to be
4.4
LOADING...
Click the icon to view the table of areas under the​ t-distribution.
​(a) Construct a
95%
confidence interval about
muμ
if the sample​ size, n, is
34
 
Lower​ bound:
17.16
Upper​ bound: 20.24
​(Use ascending order. Round to two decimal places as​ needed.)
​(b) Construct a
95%
confidence interval about
muμ
if the sample​ size, n, is
61
 
Lower​ bound:
17.57
Upper​ bound: 19.83
​(Use ascending order. Round to two decimal places as​ needed.)
How does increasing the sample size affect the margin of​ error, E?
 
 
A.
The margin of error does not change.
 
B.
The margin of error increases.
 
C.
The margin of error decreases.
​(c) Construct a
99%
confidence interval about
muμ
if the sample​ size, n, is
34
 
Lower​ bound:
16.6416.64​;
Upper​ bound: 20.7620.76
​(Use ascending order. Round to two decimal places as​ needed.)
Compare the results to those obtained in part​ (a). How does increasing the level of confidence affect the size of the margin of​ error, E?
 
 
A.
The margin of error increases.
 
B.
The margin of error does not change.
 
C.
The margin of error decreases.
​(d) If the sample size is
1313​,
what conditions must be satisfied to compute the confidence​ interval?
 
 
A.
The sample data must come from a population that is normally distributed with no outliers.
 
B.
The sample size must be large and the sample should not have any outliers.
 
C.
The sample must come from a population that is normally distributed and the sample size must be large.
 
Click to select your answer(s).
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