I If We Are Testing for the Difference Between Two

question 91

Multiple Choice

i. If we are testing for the difference between two population means, it is assumed that the sample
Observations from one population are independent of the sample observations from the other
Population.
ii. If we are testing for the difference between two population means, it is assumed that the two
Populations are approximately normal and have equal variances.
iii. When sample sizes are less than 30, a test for the differences between two population means
Has n - 1 degrees of freedom.

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

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Definitions:

Necessary Condition

A condition that must be present for an event or action to occur.

Sufficient Condition

A condition or set of conditions that guarantees the occurrence of another event or state.

Disconfirming Instances

Instances or examples that provide evidence against a particular hypothesis or statement.

Generalization

A broader statement or principle derived from specific instances, making wider claims based on limited observations.