A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 12 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.1 fluid ounces and 0.13 fluid ounces, respectively.
If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge,{u} , differs from 6 fluid ounces? Use the 0.05 level of significance.
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis and the alternative hypothesis .
(b) Determine the type of test statistic to use.
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the mean discharge differs from fluid ounces?
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