When the level of confidence and the sample size remain the same,a confidence interval for a population mean μ will be ________________ when the sample standard deviation s is small than when s is large.
A)Wider
B)Narrower
C)Neither Wider nor Narrower,they will be the same.

Question

Quizplus · Accepted Answer

When the sample standard deviation s is small, it means that the data points in the sample are closer to the mean. This leads to a smaller margin of error and hence a narrower confidence interval. Conversely, if the sample standard deviation is large, it means that the data points in the sample are more spread out from the mean, leading to a larger margin of error and a wider confidence interval. Thus, when the level of confidence and sample size remain the same, a confidence interval for a population mean μ will be narrower when the sample standard deviation s is small than when s is large.

When the Level of Confidence and the Sample Size Remain