The mean and standard deviation of a random sample of n measurements are equal to33.2
The mean and standard deviation of a random sample of n measurements are equal to33.2 and
3.5, respectively.
a. Find a 95% confidence interval for m if n equals144.
b. Find a 95% confidence interval for m if n equals 576.
c. Find the widths of the confidence intervals found in parts a and b.
What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?
a. The 95% confidence interval for m if n equals144 is approximately ( ), ( )
(Round to three decimal places as needed.)
b. The 95% confidence interval m if n equals 576 is approximately ( ) ( )
(Round to three decimal places as needed.)
c. Choose the correct answer below.
A.
Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.
B.
Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.
C.
Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 4.
D.
Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.
E.
Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.
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