2. Comparing the t and the z statistics Aa Aa You can use both the t statistic a

Question

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

Explanation / Answer

Answer:

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-µ)/sm

The necessary assumption for hypothesis tests with the t test and with the z statistic are random, independent and from normal populations.

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