Question

True or False. Sp denotes the pooled estimate of the common standard deviation computed as the weighted average of the standard deviations in the samples, and assumes that the variances of the population are similar.

Answer 1

Solution:

Given statement is:

S_p denotes the pooled estimate of the common standard deviation computed as the weighted average of the standard deviations in the samples, and assumes that the variances of the population are similar.

According to definition of pooled standard deviation: pooled standard deviation is the pooled estimate of common standard deviation assuming equal variances and it is computed as average of the of the standard deviations in the samples.

It is given by:

Here we can see we have pooled two standard deviations and found their average.

Thus given statement is True.