What are the null and research hypotheses, both symbolically and in plain English?
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: Ho: ?Lauren’s sample = ?all coffee
Hr: ?Lauren’s sample > ?all coffee
In plain English, the null hypothesis states that there will be no difference in acidity levels between Lauren’s sample of coffee and the targeted acidity levels at her company. The research hypothesis states that acidity levels will be higher in Lauren’s sample than what is targeted at her company.
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