# Hypothesis testing for difference between two means

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.5 cups. In a two-tail test at the 0.05 level, could the residents of this city be said to be significantly different from their counterparts across the nation?

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#### Solution Preview

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.5 cups. In a two-tail test at the 0.05 level, could the residents of this city be said to be significantly different from their counterparts across the nation?

At 0.05 level of significance we can conclude that the residents of this city are significantly different from their counterparts across the nation

(See calculations below)

Data ...

#### Solution Summary

Tests the hypothesis that for the purpose of coffee consumption, the residents of North Carolina are significantly different from their counterparts across the nation.