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Thanks in advanced :) 2. Comparing the t and the z statistics Aa Aa You can use

ID: 2930475 • Letter: T

Question

Thanks in advanced :)

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 uses the same formula as the z statistic except that the t statistic uses the estimated standard error in the denominator. The formula for the t statistic is t = (M-) / 0m The t statistic provides an excellent estimate of z, particularly with small sample sizes. The t statistic does not require any knowledge of the population standard deviation. 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

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 does not require any knowledge of the population standard deviation.

With the exception of whether the population standard devitaion is known, the necessary assumptions for hypothesis tests with the t statistic and with the z statistic are ESSENTIALLY THE SAME

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