If a juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average and any overfilling or underfilling results in the shutdown and readjustment of the machine, in order determine whether or not the machine is properly adjusted, the correct set of hypotheses is H0: µ=12 and Ha: µ≠12. (Option C).
In scientific context, a hypothesis or hypotheses refers is a testable statement defining the relationship between variables or a proposed justification for an observed phenomenon. In this case, since the drink filling machine that is perfectly adjusted fills 12 ounces of drink on an average, after readjustment to determine if the machine is properly adjusted, the hypotheses that must be test that if the average of filling is equal to 12 ounces or not.
Note: The question is incomplete as options are missing. The options are a) H0: µ < 12 and Ha: µ≥12, b) H0: µ≤12 and Ha: µ>12, c) H0: µ=12 and Ha: µ≠12, d) H0: µ≠12 and Ha: µ =12.
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