A Bottling Company Produces Bottles That Hold 12 Ounces of Liquid

question 47

Multiple Choice

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. \(H _ { \mathrm { a } } : \mu > 12\)

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Definitions:

Compensation Viewpoint

A perspective that suggests individuals may develop certain traits or behaviors as a way to compensate for or overcome disabilities or deficiencies.

Cohort Effect

A cohort refers to people born at roughly the same time, and a cohort effect refers to differences in age cohorts (e.g., people born in 1930 versus those born in 1980) as a result of unique social and historical events they have experienced.

Cross-Sectional Surveys

Research tools used to gather information from a sample population at one specific point in time to analyze trends or patterns.

Theoretical Frameworks

Structured sets of concepts and ideas that guide academic research and interpretation of data.