Comparing the t and z statistics 2. Comparing the t and the z statistics Aa Aa Y

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Comparing the t and z statistics

2. Comparing the t and the z statistics Aa Aa You can use both the t statistic and the z statistic to test hypotheses about the mean of a population. The test that uses the t statistic is typically referred to as a t test, while the test that uses the z statistic is commonly called a z test Which of the following statements are true of the t statistic? Check all that apply. The t statistic provides an excellent estimate of z, particularly with small sample sizes. when the population standard deviation is unknown, you can use the t statistic, assuming all relevant assumptions are satisfied. The formula for the t statistic is t = (M-p) / SM. 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 quite different essentially the same

Explanation / Answer

Correct option (A) : The t statistic provies an excellent estiamte of Z, particlularly with small sample sizes
Correct option (B) : When the population SD is unknown, you can use the t statistic, assumping all relevant assumptions are satiesfied
Correct option (C) : t = (M-Mu)/Sm

Answer: essentially the same

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