A machine is designed to fill toothpaste tubes, on an average, with 5.8 ounces of toothpaste. The manufacturer does not want any underfilling or overfilling. The correct hypotheses to be tested are A) H₀: μ ≠ 5.8 H_a: μ = 5.8. B) H₀: μ = 5.8 H_a: μ ≠ 5.8. C) H₀: μ 5.8 H_a: μ ≤ 5.8. D) H₀: μ ≥ 5.8 H_a: μ

Question

A machine is designed to fill toothpaste tubes, on an average, with 5.8 ounces of toothpaste. The manufacturer does not want any underfilling or overfilling. The correct hypotheses to be tested are A) H₀: μ ≠ 5.8 H_a: μ = 5.8. B) H₀: μ = 5.8 H_a: μ ≠ 5.8. C) H₀: μ > 5.8 H_a: μ ≤ 5.8. D) H₀: μ ≥ 5.8 H_a: μ < 5.8.

Quizplus · Accepted Answer

The correct hypotheses to be tested are usually stated as:
Null hypothesis (H0): The mean amount of toothpaste filled in the tubes is equal to 5.8 ounces.
Alternative hypothesis (Ha): The mean amount of toothpaste filled in the tubes is not equal to 5.8 ounces.
Therefore, choice B is the best option as it correctly states the null and alternative hypotheses for the test.

A Machine Is Designed to Fill Toothpaste Tubes, on an Average