A bottling company produces bottles that hold 12 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 11.8 ounces with a standard deviation of .4 ounce. Which of the following is the set of hypotheses the company wishes to test?

Question

A) $H _ { 0 } : \mu < 12$ vs. $H _ { \mathrm { a } } : \mu = 12$
B) $H _ { 0 } : \mu = 12$ vs. $H _ { \mathrm { a } } : \mu \neq 12$
C) $H _ { 0 } : \mu = 12$ vs. $H _ { \mathrm { a } } : \mu < 12$
D) $H _ { 0 } : \mu = 12$ vs. $H _ { \mathrm { a } } : \mu > 12$

Quizplus · Accepted Answer

The Answer of A bottling company produces bottles that hold 12 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 11.8 ounces with a standard deviation of .4 ounce. Which of the following is the set of hypotheses the company wishes to test?

A) $H _ { 0 } : \mu < 12$ vs. $H _ { \mathrm { a } } : \mu = 12$
B) $H _ { 0 } : \mu = 12$ vs. $H _ { \mathrm { a } } : \mu \neq 12$
C) $H _ { 0 } : \mu = 12$ vs. $H _ { \mathrm { a } } : \mu < 12$
D) $H _ { 0 } : \mu = 12$ vs. $H _ { \mathrm { a } } : \mu > 12$

A Bottling Company Produces Bottles That Hold 12 Ounces of Liquid