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. 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. 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-u) / OM. 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

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2. 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.
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.
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-µ) / OM.
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
Transcribed Image Text:2. 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. 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. 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-µ) / OM. 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
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