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If all other factors are held constant,which of the following would produce the smallest width for aconfidence interval for µ?
A.
an 80% confidence interval based on a sample of n = 25
B.
a 90% confidence interval based on a sample of n = 25
C.
an 80% confidence interval based on a sample of n = 100
D.
a 90% confidence interval based on a sample of n = 100

Respuesta :

The option that produces the  smallest width for a confidence interval for µ is; D. a 90% confidence interval based on a sample of n = 100

How to find the confidence Interval?

The formula for the confidence interval is;

CI = x' ± z(s/√n)

where;

x' is mean

s is standard deviation

n is sample size

Now, It is pertinent to note that the higher the confidence level, the higher the z-score and as such the larger the width of confidence interval for µ.

Similarly, the higher the sample size, the lesser the margin of error and in turn the smaller the width.

Thus, a confidence level of 90% and a sample size of 100 from the given options will be concluded to be the one that produces the  smallest width for a confidence interval for µ.

Read more about Confidence Interval at;https://brainly.com/question/17097944

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