When the standard deviation of the original population is small,the experiment tends to
A)have a higher level of power.
B)have a lower level of power.
C)show a less significant difference between the two populations.
D)have a high level of Type II error.

Question

Quizplus · Accepted Answer

A small standard deviation indicates that the data points are clustered closely around the mean, making it easier to detect a significant difference between the two groups. This means that the experiment will tend to have a higher level of power, which is the ability to detect a true difference between the groups. A lower level of power would occur if there is a large amount of variability in the data, which makes it harder to distinguish between the two populations. A less significant difference between the two populations would occur if the means are close together, regardless of the standard deviation. Type II error is not directly related to the standard deviation but rather the sample size and significance level chosen for the experiment.

When the Standard Deviation of the Original Population Is Small,the