Is a z test or a one-sample t test appropriate, and why?
Lauren is in charge of quality control for the coffee company she works for. Recently, she has become worried because of an increase in customer complaints about the acid levels of her company’s French Roast coffee. The acid level in her company’s French Roast coffee should be normally distributed with a ? = 25 mg/cup and a ? = 15 mg/cup. She randomly samples 36 bags of French Roast and finds their mean acidity level to be 28 mg/cup. Does Lauren’s sample of coffee bags differ significantly from the population? What does this mean for her company?
Ans: A z test is appropriate because we have access to the population standard deviation.
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