A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 25 bottles and finds the average amount of liquid held by the bottles is 9.8 ounces with a standard deviation of .4 ounce. Which of the following is the set of hypotheses the company wishes to test? A) H0: μ = 10 vs. Ha: μ

Question

A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 25 bottles and finds the average amount of liquid held by the bottles is 9.8 ounces with a standard deviation of .4 ounce. Which of the following is the set of hypotheses the company wishes to test?
A) H0: μ = 10 vs. Ha: μ < 10
B) H0: μ < 10 vs. Ha: μ = 10
C) H0: μ = 10 vs. Ha: μ > 10
D) H0: μ = 10 vs. Ha: μ ≠ 10

Quizplus · Accepted Answer

The null hypothesis (H0) is that the mean amount of liquid is 10 ounces, and the alternative hypothesis (Ha) is that the mean is less than 10 ounces, which aligns with the complaint that bottles are not holding enough liquid.

A Bottling Company Produces Bottles That Hold 10 Ounces of Liquid