Homework SourseQuestion 2 What is the difference between the calculation of
Question 2: What is the difference between the calculation of a t score and z score for hypothesis testing ?
A t score is used with a small sample and uses a population standard deviation in the denominator. A z score is used with a large enough sample and uses a sample standard deviation in the denominator.
A t score is used with a small sample and uses a sample standard deviation in the denominator. A z score is used with population data or can be used with a large enough sample and uses a population standard deviation in the denominator.
A t score is used with a large sample. A z score is used a with a small sample.
A z score is used with a small sample and uses a sample standard deviation in the denominator. A t score is used with population data or can be used with a large enough sample and uses a population standard deviation in the denominator.
| 1. | A t score is used with a small sample and uses a population standard deviation in the denominator. A z score is used with a large enough sample and uses a sample standard deviation in the denominator. | |
| 2. | A t score is used with a small sample and uses a sample standard deviation in the denominator. A z score is used with population data or can be used with a large enough sample and uses a population standard deviation in the denominator. | |
| 3. | A t score is used with a large sample. A z score is used a with a small sample. | |
| 4. | A z score is used with a small sample and uses a sample standard deviation in the denominator. A t score is used with population data or can be used with a large enough sample and uses a population standard deviation in the denominator. |
Solution
option (2) is the most appropriate.
Actually we use z when population std dev is known. If sample size is very large, we can approximate population std dev with sample std dev. Otherwise t is used.
