Which of the Following Set of Hypotheses Is Used to Test

question 100

Multiple Choice

Which of the following set of hypotheses is used to test if the mean of the first population is smaller than the mean of the second population,using matched-paired sampling?

• A) H₀: µ₁- µ₂ ≤ 0,H_A: µ₁- µ₂ > 0
• B) H₀: µ₁- µ₂ ≥ 0,H_A: µ₁- µ₂ < 0
• C) H₀: µ_D ≤0,H_A: µ_D > 0
• D) H₀: µ_D ≥0,H_A: µ_D < 0

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Definitions:

Inequality

A mathematical statement illustrating the relationship between two expressions that are not equal, using symbols such as <, >, ≤, or ≥.

Absolute Value

The distance of a number from zero on the number line, regardless of direction; denoted by |x|.

Equation

A mathematical declaration that affirms two expressions, usually containing variables, are equal.

Inequality

A mathematical statement that indicates the relationship of less than, greater than, less than or equal to, or greater than or equal to between two values.