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Hypothesis testing

An environmental group claims that the average family produces 2.5 kilograms of organic garbage per day.
Test this claim by constructing a 95% confidence interval for the mean weight of organic garbage produced by all families in the population.
For your calculations, assume that a random sample of 16 families showed the mean weight of organic garbage to be 1.9 kilograms with a standard deviation of 0.10 kilograms.
Do your calculations support or contradict the claim?

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Solution Preview

Null Hypothesis: H0: M=2.5 Kg; Average family produces 2.5 Kg of garbage
Alternative Hypothesis: H1: M(not equal to)2.5 Kg; Average family does not produce 2.5 Kg of garbage

This is a two tailed test since we are testing the hypothesis that mean is not equal to 2.5 Kg

Mean=M= 2.5 Kg
Standard ...

Solution Summary

The solution tests the hypothesis that average family produces 2.5 Kg of garbage