The statistics of n=22 and s=14.3 result in this​ 95% confidence interval estimate of σ​: 11.0<σ<20.4. That confidence interval can also be expressed as​ (11.0, 20.4). Given that 15.7±4.7 results in values of 11.0 and​ 20.4, can the confidence interval be expressed as 15.7±4.7 as​ well? Choose the correct answer below.     A. Yes. In​ general, a confidence interval for σ has s at the center.   B. No. The format implies that s=​15.7, but s is given as 14.3. In​ general, a confidence interval for σ does not have s at the center.   C. Yes. Since the​ chi-square distribution is​ symmetric, a confidence interval for σ can be expressed as 15.7±4.7.   D. Not enough information

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The statistics of
n=22
and
s=14.3
result in this​ 95% confidence interval estimate of
σ​:
11.0<σ<20.4.
That confidence interval can also be expressed as​ (11.0, 20.4). Given that
15.7±4.7
results in values of 11.0 and​ 20.4, can the confidence interval be expressed as
15.7±4.7
as​ well?
Choose the correct answer below.
 
 
A.
Yes. In​ general, a confidence interval for
σ
has s at the center.
 
B.
No. The format implies that
s=​15.7,
but s is given as 14.3. In​ general, a confidence interval for
σ
does not have s at the center.
 
C.
Yes. Since the​ chi-square distribution is​ symmetric, a confidence interval for
σ
can be expressed as
15.7±4.7.
 
D.
Not enough information
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