Which of the following statements are true of the t statistic? Check all that apply. The formula for the t statistic is t = (M – µ) / SM The t statistic provides an increasingly bad estimate of z at increasingly large sample sizes. When you do not know the population standard deviation, you can use the t statistic, assuming all relevant assumptions are satisfied. The numerator of the t statistic is different than the numerator of the z statistic. 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

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 at 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.
O The formula for the t statistic is t = (M - µ) / SM
The t statistic provides an increasingly bad estimate of z at increasingly large sample sizes.
O When you do not know the population standard deviation, you can use the t statistic, assuming all relevant assumptions are satisfied.
O The numerator of the t statistic is different than the numerator of the z statistic.
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 at 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. O The formula for the t statistic is t = (M - µ) / SM The t statistic provides an increasingly bad estimate of z at increasingly large sample sizes. O When you do not know the population standard deviation, you can use the t statistic, assuming all relevant assumptions are satisfied. O The numerator of the t statistic is different than the numerator of the z statistic. 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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