Which of the following conditions doesn't need to be met before you can use a two-sample procedure?

The responses in each group are independent of each other.

Each group is considered to be a sample from a distinct population.

The same variable is measured in both samples.

The goal is to compare the means of the two groups.

Data in two samples are matched together in pairs that are compared.

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Which of the following statements is false?
I. We use one-sample procedures when our samples are equal in size but aren't independent.

II. Everything else being equal, a confidence interval based on 15 degrees of freedom will be narrower than one based on 10 degrees of freedom.

III. The samples used in all two-sample procedures must be of the same size.

I only

II only

III only

I and III only

None of the above gives the correct response.