A machine is designed to fill toothpaste tubes with 5.8 ounces of toothpaste.The manufacturer does not want any underfilling or overfilling.The correct hypotheses to be tested are A)H₀: $\mu$$\neq$ 5.8 H_a: $\mu$ = 5.8 B)H₀: $\mu$ = 5.8 H_a: $\mu$$\neq$5.8 C)H₀: $\mu$ 5.8 H_a: $\mu$ $\le$ 5.8 D)H₀: $\mu$ $\ge$ 5.8 H_a: $\mu$

Question

A machine is designed to fill toothpaste tubes with 5.8 ounces of toothpaste.The manufacturer does not want any underfilling or overfilling.The correct hypotheses to be tested are A)H₀: $\mu$$\neq$ 5.8 H_a: $\mu$ = 5.8 B)H₀: $\mu$ = 5.8 H_a: $\mu$$\neq$5.8 C)H₀: $\mu$ > 5.8 H_a: $\mu$ $\le$ 5.8 D)H₀: $\mu$ $\ge$ 5.8 H_a: $\mu$ < 5.8

Quizplus · Accepted Answer

The correct hypotheses to be tested should state that the mean filling amount is equal to the target amount of 5.8 ounces. Therefore, option A can be eliminated because it includes an alternative hypothesis that the mean filling amount is not equal to 5.8. Option C includes an alternative hypothesis that the mean filling amount is greater than 5.8, which is not necessary as the aim is to avoid overfilling. Option D includes an alternative hypothesis that the mean filling amount is greater than or equal to 5.8, which is not needed because the manufacturer does not want overfilling. Option B is the best choice because it states the null hypothesis as the mean filling amount is equal to 5.8 and the alternative hypothesis as the mean filling amount is not equal to 5.8.

A Machine Is Designed to Fill Toothpaste Tubes with 5 μ\muμ

A Machine Is Designed to Fill Toothpaste Tubes with 5 $\mu$