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 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 over filling or under filling 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: $\mu$ 12 B)H₀: $\mu$ 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

In hypothesis testing, we have null and alternative hypotheses. The null hypothesis (H₀) assumes that the machine is properly adjusted and fills the bottles with exactly 12 ounces. Thus, the population mean (µ) equals 12. The alternative hypothesis (H_a) assumes that the machine is not properly adjusted and fills the bottles with either more or less than 12 ounces. Thus, the population mean (µ) is not equal to 12. The correct set of hypotheses is D, as it represents the null hypothesis as µ=12 and the alternative hypothesis as µ≠12 without including any greater than or less than signs.

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

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