A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is A)H₀: $\mu$ 12 C)H₀: $\mu$ $\neq$ 12 H_a: $\mu$ = 12 D)H₀: $\mu$ = 12 H_a: $\mu$ $\neq$ 12

Question

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is A)H₀: $\mu$ < 12 H_a: $\mu$ $\le$ 12 B)H₀: $\mu$ $\le$ 12 H_a: $\mu$ > 12 C)H₀: $\mu$ $\neq$ 12 H_a: $\mu$ = 12 D)H₀: $\mu$ = 12 H_a: $\mu$ $\neq$ 12

Quizplus · Accepted Answer

The null hypothesis (H₀) should state that the machine is correctly adjusted, meaning the mean fill is 12 ounces. The alternative hypothesis (H_a) should state that the machine is not correctly adjusted, meaning the mean fill is not 12 ounces.

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

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