Two Conditions Are Required to Test a Claim About Two

question 26

Multiple Choice

Two conditions are required to test a claim about two population standard deviations. What are they?

• A) The samples are independent and the population is normal.
• B) The samples are mutually exclusive and the population is normal.
• C) The samples are independent and the populations are randomly selected.
• D) The samples are mutually exclusive and the population are randomly selected.

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Definitions:

Alternative Hypothesis

The hypothesis that there is a significant difference or effect, contrasting with the null hypothesis and indicating the presence of an observed effect.

Type II Error

A statistical mistake where a false null hypothesis is not rejected, meaning the test fails to observe a difference when in truth there is one.

Population Mean

The average value of a characteristic in a population, calculated by summing all the values and dividing by the number of values.

Significance Level

The probability of rejecting the null hypothesis when it is actually true; a measure of the threshold for the likelihood of a Type I error.