​(a) Construct a 95​% confidence interval about μ if the sample​ size, n, is 35.   Lower​ bound:   Upper​ bound:  ​(Use ascending order. Round to two decimal places as​ needed.) Part 2 ​(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 51.   Lower​ bound:   Upper​ bound:  ​(Use ascending order. Round to two decimal places as​ needed.) Part 3 How does increasing the sample size affect the margin of​ error, E?     A. The margin of error increases.   B. The margin of error decreases.   C. The margin of error does not change. Part 4

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A simple random sample of size n is drawn. The sample​ mean,

x​,

is found to be

19.1​,

and the sample standard​ deviation, s, is found to be

4.1.
​(a) Construct a
95​%
confidence interval about
μ
if the sample​ size, n, is
35.
 
Lower​ bound:
 
Upper​ bound: 
​(Use ascending order. Round to two decimal places as​ needed.)
Part 2
​(b) Construct a
95​%
confidence interval about
μ
if the sample​ size, n, is
51.
 
Lower​ bound:
 
Upper​ bound: 
​(Use ascending order. Round to two decimal places as​ needed.)
Part 3
How does increasing the sample size affect the margin of​ error, E?
 
 
A.
The margin of error increases.
 
B.
The margin of error decreases.
 
C.
The margin of error does not change.
Part 4
​(c) Construct a
99​%
confidence interval about
μ
if the sample​ size, n, is
35.
 
Lower​ bound:
 
Upper​ bound: 
​(Use ascending order. Round to two decimal places as​ needed.)
Part 5
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 decreases.
 
B.
The margin of error increases.
 
C.
The margin of error does not change.
Part 6
​(d) If the sample size is
12​,
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
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