The bottler of a certain soft drink claims their 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

Question

Quizplus · Accepted Answer

The null hypothesis is typically written as H0: parameter = hypothesized value. In this case, the parameter of interest is the variance of filled bottles, denoted as σ^2. The bottler claims that σ^2 ≤ 0.05, so the null hypothesis would be H0: σ^2 ≤ 0.05. Using the symbols given in the answer choices, this translates to H₀: σ² ≤ .05. Therefore, the best choice is D, which matches this form.

The Bottler of a Certain Soft Drink Claims Their Equipment