A coin operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup In a test of the machine the

Question

A coin operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup In a test of the machine the discharge amounts in 14 randomly chosen cups of coffee from the machine were recorded The sample mean and sample standard deviation were 7 08 fluid ounces and 0 25 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 7 fluid ounces Use the 0 10 level of significance Perform a two tailed test Then answer the questions below Carry your intermediate computations to three or more decimal places a State the null hypothesis Ho and the alternative hypothesis H Ho H b Determine the type of test statistic to use Z t Chi Square F Degrees of freedom if applicable 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 7 fluid ounces Yes No

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