Question

A t statistic is like a ___________ statistic in that both are:

(sample mean - null hypothesis population mean)/(Standard error of the mean)

The only difference is that the t uses the __________ standard error while the z requires that the standard error is __________________.

From the list:

z, estimated, known, p, u, or standardized

Answer 1

A t statistic is like a Z statistic in that both are:

(sample mean - null hypothesis population mean)/(Standard error of the mean)

The only difference is that the t uses the estimated standard error while the z requires that the standard error is standardized

Basically a t test statistic is used when population standard deviation() is not known and then we use estimated standard deviation from the sample (s) and Z statistic is used for the known population standard deviation().