A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink.Any over-filling or under-filling results in the shutdown and readjustment of the machine.To determine whether the machine is properly adjusted, the most appropriate set of hypotheses is A)H₀: $\mu$ 12 C)H₀: $\mu$ = 12; H_a: $\mu$ $\neq$ 12 D)H₀: $\mu$ $\neq$ 12; H_a:$\mu$ = 12 E)none of the above

Question

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink.Any over-filling or under-filling results in the shutdown and readjustment of the machine.To determine whether the machine is properly adjusted, the most appropriate set of hypotheses is A)H₀: $\mu$< 12; H_a: $\mu$ $\le$12 B)H₀: $\mu$$\le$ 12; H_a: $\mu$ > 12 C)H₀: $\mu$ = 12; H_a: $\mu$ $\neq$ 12 D)H₀: $\mu$ $\neq$ 12; H_a:$\mu$ = 12 E)none of the above

Quizplus · Accepted Answer

The correct hypothesis set for testing if the machine is properly adjusted is to have a null hypothesis (H0) that the mean (μ) equals the target value (12 ounces), and an alternative hypothesis (Ha) that the mean is not equal to the target value. This allows for testing both over-filling and under-filling.

A Soft Drink Filling Machine, When in Perfect Adjustment, Fills μ\muμ

A Soft Drink Filling Machine, When in Perfect Adjustment, Fills $\mu$