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: μ 12 C) H0: μ ≠ 12 Ha: μ = 12 D) H0: μ = 12 Ha: μ ≠ 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: μ < 12 Ha: μ ≤ 12
B) H0: μ ≤ 12 Ha: μ > 12
C) H0: μ ≠ 12 Ha: μ = 12
D) H0: μ = 12 Ha: μ ≠ 12

Quizplus · Accepted Answer

The null hypothesis (H0) should reflect the assumption that the machine is properly adjusted, so it should state that the mean amount of soft drink filled is equal to 12 ounces. The alternative hypothesis (Ha) should reflect any deviation from this assumption, so it should state that the mean amount of soft drink filled is not equal to 12 ounces. Therefore, the correct set of hypotheses is H0: μ = 12 and Ha: μ ≠ 12, which is represented by choice D.

A Soft Drink Filling Machine, When in Perfect Adjustment, Fills