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A company that produces carbonated beverage has to check the shelf life of their product periodically...

A company that produces carbonated beverage has to check the shelf life of their product periodically for quality control. They collected a random sample of 10 bottles and measured their shelf life in days, and obtained the following results:

108, 124, 124, 106, 115, 138, 163, 159, 134, 139

They would like to demonstrate that the mean shelf life of their product exceeds 120 days.

a. What is distribution of the test statistic under the null hypothesis?

b. What are the assumptions that you made in order to perform this analysis? Conduct the appropriate steps in order to check if the assumptions hold in this case. If not, suggest what you would do.

Math   Statistics-And-Probability   
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