Hypothesis+Testing+of+Mean-Coffee

# Hypothesis+Testing+of+Mean-Coffee - MathProblem

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Math Problem A machine is designed to fill jars with 16 ounces of coffee. A consumer suspects that the  machine is not filling the jars completely. A sample of 8 jars has a mean of 15.6 ounces and  a standard deviation of 0.3 ounce. Is there enough evidence to support the consumer's  conjecture at a = 0.05?  (1) First, identify the alternative and the null hypotheses.  (2) Secondly, calculate the critical value and d.f.  (3) Next, use the appropriate formula.  (4) Finally, decide whether or not to reject the null hypothesis. Answer (1) First, identify the alternative and the null hypotheses. The  null hypothesis  tested is H0: The average quantity of coffee in the jar = 16 ounces. (µ = 16) The  alternative hypothesis  is  H1: The average quantity of coffee in the jar < 16 ounces. (µ < 16) (2) Secondly, calculate the critical value and d.f. Degrees of freedom = n – 1 = 8 – 1 = 7

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## This note was uploaded on 02/06/2011 for the course CHEM 115L taught by Professor Nakkiew,pichaya during the Spring '10 term at Grand Canyon.

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Hypothesis+Testing+of+Mean-Coffee - MathProblem

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