1. Comparing the t and the z-statistics You can use both the tistatistic and the

Question

1. Comparing the t and the z-statistics You can use both the tistatistic and the z statistic to test hypotheses about the mean of a population. The test that uses the tistatistic is typically referred to as a t test, while the tst that uses the zistatistic is commonly called a z test. Which of the following statements are true of the t-statistic and the t distribution? Check all that apply The t-statistic does not require any knowledge of the population standard deviation. The formula for the t-statistic is t-(X-) / The t-statistic uses the same formula as the z-statistic except that the t-statistic uses the estimated standard error in the denominator. The t-statistic always has less variability than the z-statistic. (Note: Remember that the standard error of the mean can be written as standard error of the mean is = s/Vn.) 0Nn. Likewise, the estimated

Explanation / Answer

The t-statistic does not require any knowledge of the population standard deviation

The t-statistic uses the same formula as the z-statistic except that the t-statistic uses the estimated standard error in the denominator

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