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 when the population standard deviation is unknown, you can use the t statistic, assuming all relevant assumptions are satisfied. O The formula for the t statistic is t= (M - p) / SM O The t statistic provides an excellent estimate of z, particularly with small sample sizes. O The t statistic uses the same formula as the z statistic except that the z 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
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 when the population standard deviation is unknown, you can use the t statistic, assuming all relevant assumptions are satisfied. O The formula for the t statistic is t= (M - p) / SM O The t statistic provides an excellent estimate of z, particularly with small sample sizes. O The t statistic uses the same formula as the z statistic except that the z 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
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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![**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.**
- [ ] When the population standard deviation is unknown, you can use the t statistic, assuming all relevant assumptions are satisfied.
- [ ] The formula for the t statistic is t = (M - μ) / sM.
- [ ] The t statistic provides an excellent estimate of z, particularly with small sample sizes.
- [ ] The t statistic uses the same formula as the z statistic except that the z 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%2F4db3741e-721a-439e-b852-2fa7d88c44c0%2Fhcwr3gc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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.**
- [ ] When the population standard deviation is unknown, you can use the t statistic, assuming all relevant assumptions are satisfied.
- [ ] The formula for the t statistic is t = (M - μ) / sM.
- [ ] The t statistic provides an excellent estimate of z, particularly with small sample sizes.
- [ ] The t statistic uses the same formula as the z statistic except that the z 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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