One Hypothesis

One Population Hypothesis Test

RES 341

March 07, 2011

One Population Hypothesis Test

During the past four weeks, Learning Team C has developed a project to research, devised the method of research to use, conducted the research, and analyzed the data. At this point in the testing, the team will determine the reason for performing a test to see if the following hypotheses are true or not:

H0: Each can of Pepsi contain 12 or more ounces of liquid.

H1: Each can of Pepsi does not contain 12 or more ounces of liquid

“One – Population” hypothesis

Type I error means determining if each can of Pepsi contains at least 12 ounces of soft drink and this information would be important to the Pepsi Corporation. The Type II error means that a can of Pepsi may contain less than 12 ounces and would be important to Pepsi’s consumers. The cost of the extra ounces in the Type I error would be a waste of product and money. Providing no excess in each can would allow Pepsi to produce more cans of its beverage to sell while meeting the amount of product promised to the consumer through its packaging. The cost of the Type II error would be the loss of reputation of producing a quality product. Once the consumer becomes aware that he or she is not receiving the amount advertised on the packaging, the customer may think twice about purchasing the product. The customer may feel deceived and could begin to doubt the quality of the product and the integrity of the company. Both risks could have implications in the selling of the product. Which error would be more costly?

A team of five researchers are testing 15 cans of Pepsi and 15 cans of Coke to verify that each can contains 12 ounces of soda.

The Null and Alternative hypothesis for Pepsi

Null hypothesis: H0: μ ≤12.00

Alternative hypothesis: H1: μ >12.00

Level of Significance

In researching if Pepsi soda cans contain 12 ounces of liquid; a team of five researchers have used...