Which of the following statements is not true about samples that can be treated as matched pairs data?

I. Data collected on these samples is analyzed by calculating the differences between paired observations and using that data in one sample tests.

II. Each value in the first group of numbers has a relationship to a value in the second group.

III. It's best to analyze related samples by conducting hypothesis tests on the mean from the first and the second groups, in that order.



II only

II and III only

I, II, and III

I and III only

III only

I was thinking I, II, and III all sound correct...

To determine which statement is not true about samples that can be treated as matched pairs data, let's analyze each statement:

I. Data collected on these samples is analyzed by calculating the differences between paired observations and using that data in one sample tests.
This statement is true. When dealing with matched pairs data, the differences between paired observations are calculated and used for analysis.

II. Each value in the first group of numbers has a relationship to a value in the second group.
This statement is also true. In matched pairs data, there is a relationship between each value in the first group and a corresponding value in the second group.

III. It's best to analyze related samples by conducting hypothesis tests on the mean from the first and the second groups, in that order.
This statement is not true. When analyzing matched pairs data, it is generally recommended to conduct hypothesis tests on the mean of the differences between paired observations, rather than on the means of the individual groups separately.

Based on the analysis above, the statement that is not true about samples that can be treated as matched pairs data is:

III only.

Therefore, the correct answer is "III only".