3. 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 thet statistic? Check all that apply. O The t statistic provides an excellent estimate of z, particularly with small sample sizes. O The formula for the t statistic is t = (M - p) / oM. O The t statistic does not require any knowledge of the population standard deviation. O The t statistic uses the same formula as the z statistic except that the t statistic uses the estimated standard error in the denominator. O O OO

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**3. 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 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.
- [ ] The formula for the t statistic is t = (M - μ) / σM.
- [x] The t statistic does not require any knowledge of the population standard deviation.
- [x] The t statistic uses the same formula as the z statistic except that the t 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 __________.
Transcribed Image Text:**3. 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 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. - [ ] The formula for the t statistic is t = (M - μ) / σM. - [x] The t statistic does not require any knowledge of the population standard deviation. - [x] The t statistic uses the same formula as the z statistic except that the t 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 __________.
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