The Bottler of a Certain Soft Drink Claims Its Equipment

question 22

Multiple Choice

The bottler of a certain soft drink claims its equipment to be accurate and that the variance of all filled bottles is .05 or less. The null hypothesis in a test to confirm the claim would be written as _____.

• A) H₀: σ² ≥ .05
• B) H₀: σ² > .05
• C) H₀: σ² < .05
• D) H₀: σ² ≤ .05

---

Definitions:

Expand

To expand an algebraic expression means to simplify the expression by distributing multiplication over addition or subtraction and combining like terms.

Binomial Theorem

A principle in algebra that describes the algebraic expansion of powers of a binomial.

Expand

To express a mathematical expression in an extended form by removing parentheses or factoring, usually by applying the distributive property.

Binomial Theorem

A formula for expressing the powers of sums, which identifies the expansion of a binomial raised to any positive integer power.