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Question 2: What is the difference between the calculation of a t score and z sc

ID: 3442245 • Letter: Q

Question

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.

Explanation / Answer

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.

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