You can use both the t statistic and the z statistic to test hypotheses about the mean of population. The test that uses the t statistic is typically referred to as a t test, while the test that uses z statistic is commonly called a z test.
Which of the following statements are true of the t statistic? Check all that apply.
The numerator of the t statistic is different than the numerator of the z statistic.
When you do not know the population standard deviation, you can use the t statistic, assuming all relevant assumptions are satisfied.
The t statistic provides an increasingly bad estimate of z at increasingly large sample sizes.
The formula for the t statistic is t = (M - μ) / sM
With the exception of whether the population standard deviation is known, the necessary assumptions for hypothesis tests with the t statistic and with the z statistic are