# Coin Operated Drink Machine Hypothesis Testing

Problem

A coin-operated drink machine was designed to discharge a mean of 7 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 6.85 ounces and 0.23 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge, mu, differs from 7 ounces?

Perform a two-tailed test. Then fill in the table below.

Problem:

Null hypothesis: H0:______

Alternative hypothesis: H1:______

Type of test statistic: (Z, t, Chi squared, F)

Value of test statistic:______

The two critical values at the 0.1 level of significance:____, ____

At the 0.1 level of significance, can we conclude that the true mean discharge differs from 7 ounces?: (Yes/No)

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#### Solution Preview

A coin-operated drink machine was designed to discharge a mean of 7 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 6.85 ounces and 0.23 ...

#### Solution Summary

The solution tests hypotheses for a coin operated drink machine and its discharge.