# Construct a hypothesis test for the population mean using a t-test for a coin operated drink machine.

A coin-operated drink machine was designed to discharge a mean of 8 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.08 ounces and .13 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the .05 level of significance, to conclude that the true mean discharge, , differs from 8 ounces?

null hypothesis?

alternative hypothesis?

T F Chi

Value to test statistic?

Critical values at .05?

Can we conclude that the true mean discharge is 8oz?

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#### Solution Summary

This solution provides a step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.