The statistics of n=22 and s=14.3 result in this​ 95% confidence interval estimate of σ​: 11.0




The statistics of
n=22

and
s=14.3

result in this​ 95% confidence interval estimate of
σ​:

11.0<><>

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








Jun 09, 2022
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