The bottler of a certain soft drink claims their equipment to be accurate and that the variance of all filled bottles is 0.05 or less. The null hypothesis in a test to confirm the claim would be written as A)H₀: $\sigma$² $\ge$0.05 B)H₀: $\sigma$² 0.05 C)H₀: $\sigma$²

Question

The bottler of a certain soft drink claims their equipment to be accurate and that the variance of all filled bottles is 0.05 or less. The null hypothesis in a test to confirm the claim would be written as A)H₀: $\sigma$² $\ge$0.05 B)H₀: $\sigma$² > 0.05 C)H₀: $\sigma$² < 0.05 D)H₀: $\sigma$² $\le$ 0.05

Quizplus · Accepted Answer

The null hypothesis should reflect the claim being tested. Since the claim is that the variance is 0.05 or less, the null hypothesis is $\sigma^2 \le 0.05$.

The Bottler of a Certain Soft Drink Claims Their Equipment σ\sigmaσ

The Bottler of a Certain Soft Drink Claims Their Equipment $\sigma$