STATS – You are in charge of quality control for the company that produces the new

| August 30, 2017

Question
You are in charge of quality control for the company that produces the new, super-healthy sports drink “Iguana-aid”. The three main ingredients in this drink are water (which is known to be important for good health), high-fructose corn syrup, and Industrial Green Dye #3702 (which is guaranteed to be healthier than Industrial Green Dye #3701). Now to the critical information: Iguana-aid is advertised to have no more than 345 mg of corn syrup (which not good for you) per bottle (less than its competitors). To guard against accusation of false advertising, every month you collect and test a random sample of 30 bottles of Iguana-aid. This month, the mean amount of corn syrup in your sample is 349 mg, and the standard deviation is 20, Conduct the appropriate test, at a = .05, of the null hypothesis that, in the population, Iguana-aid contains no more than the advertised 345 mg of corn syrup.

a) Statistical Hypotheses

b) Decision Rule

v) Calculations

d) Decision

e) Interpretation

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