Respuesta :
Answer:
Step-by-step explanation:
A matched pair t test is one in which the set of data is divided into two sets of data and the test is done to test the difference between the pairs. Sometimes this is called paired t test.\
This is done normally where one group of sample or population can be paired with other group of sample /population.
Hence
A .Measurements of annual income for each twin for 100 randomly selected pairs of twins -- True
B. Measurements of annual income for both individuals in pairs formed by matching 100 people from State A and 100 people from State B based on level of education -- True
C. Measurements of annual income for both individuals in pairs formed by assigning 100 people to pairs at random -- True
D. Measurements of annual income recorded for both spouses of 100 randomly selected married couples --False here we cannot say paired as these people are not grouped under the same conditions.
You can use the fact that a matched pair t test is used to differentiate between the means of two sets of paired data.
The Option for which it is NOT appropriate to use matched pair t test is given by:
Option D. Measurements of annual income recorded for both spouses of 100 randomly selected married couples
When do we use a matched pair t test?
When we have to do comparison between the means of two sets of paired data, then we use this test.
For example, if you trained a number of individuals, then the pair will consist of untrained individual and that same individual after training.
Similarly, we can take two randomly selected two groups from one related unit and want to compare their means, then we can use this test.
Since for given options, the first four options are such that the pairing was done randomly or under same condition, thus they were valid pairs.
For the last option, the pairs were spouse which is biased pairing since the spouses made are not under similar condition for other spouses generally(ie, suppose first spouses' pair is there. The pairing was done after a long complex process. Another complex process was used to pair other pair of spouses and so on. Thus, the pairing done is not under same condition(the complex processes tells that there is rarely any chance for the conditions to be same)
Thus,
The Option for which it is NOT appropriate to use matched pair t test is given by:
Option D. Measurements of annual income recorded for both spouses of 100 randomly selected married couples
Learn more about matched pair t test here:
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