what is the difference between one sample t test ,two sample test and paired test? can...

what is the difference between one sample t test ,two sample test and paired test? can you make a real life example to illustrate?

Expert Solution

One sample t test is used to test the single mean when population standard deviation is unknown.

Example

Suppose threre are 30 students in class and we want to test that the average wight of students is 50 kg and population standard deviation of weight of students is unknown.

In such cases we use one sample t test.

two sample t test is used when we have two independent samples with unknown population standard deviation of each.

Example

Suppose there are 50 students in class I which 25 are boys and 25 are girls. We want to test the that the mean weight of boys is equal to mean weight of girls and population standard deviation of weight of boys and girls is unknown.

In such cases we use two sample t test.

Paired r test is used when we have two dependent samples with unknown population standard deviation of difference.

Example :

Suppose we collect the data on weight of husband's and wife and we want to test mean weight of husband is equal to mean weight of wife.

In this case samples are dependent.

In this case we have to use paired t test.

milcah answered 6 months ago

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