I If Samples Taken from Two Populations Are Not Independent

question 38

Multiple Choice

i. If samples taken from two populations are not independent, then a test of paired differences is applied.
Ii) The paired difference test has (n1 + n2 - 2) degrees of freedom.
Iii) A statistics professor wants to compare grades of two different groups of students taking the same
Course in two different sections. This is an example of a paired sample.

• A) (i), (ii) and (iii) are all correct statements
• B) (i) and (ii) are correct statements, but not (iii).
• C) (i) is a correct statement, but not (ii) or (iii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (ii) is a correct statement, but not (i) and (iii).

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Definitions:

Critical Value

A point on the scale of the test statistic beyond which the hypothesis is rejected.

Null Hypothesis

A hypothesis that there is no significant difference or effect, serving as the default assumption to be tested in statistical hypothesis testing.

One-Tailed Test

A statistical test in which the region of rejection is on only one side of the sampling distribution, used when making a directional hypothesis about a population parameter.