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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 __________.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01604a07-1abb-47f3-85be-4093016fdea3%2F5f9f4599-b217-4ba2-bc34-ac5a8d215e76%2Frdopxv_processed.jpeg&w=3840&q=75)
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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