3. Comparing the t and the z statisticS 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...

2

Extracted text: 3. Comparing the t and the z statisticS 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. O when the population standard deviation is unknown, you can use the t statistic, assuming all relevant assumptions are satisfied. O The formula for the t statistic is t = (M - p) / SM O The t statistic provides an excellent estimate of z, particularly with small sample sizes. O The t statistic uses the same formula as the z statistic except that the z statistic uses the estimated standard error in the denominator. 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