A Bottling Company Produces Bottles That Hold 10 Ounces of Liquid

Multiple Choice

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 22 bottles and finds the average amount of liquid held by the bottles is $9.7$ ounces with a standard deviation of $.2$ ounce. Which of the following is the set of hypotheses the company wishes to test?

A) $H _ { 0 } : \mu < 10$ vs. $H _ { \mathrm { a } } : \mu = 10$
B) $H _ { 0 } : \mu = 10$ vs. $H _ { \mathrm { a } } : \mu > 10$
C) $H _ { 0 } : \mu = 10$ vs. $H _ { \mathrm { a } } : \mu \neq 10$
D) $H _ { 0 } : \mu = 10$ vs. $H _ { \mathrm { a } } : \mu < 10$