A researcher is interested in studying how smoking affects air pollution in rooms. Air pollution is...

A researcher is interested in studying how smoking affects air pollution in rooms. Air pollution is measured as the amount of suspended particulate matter. A random sample of 14 rooms in homes where there is no smokers, and a random sample of 22 rooms in homes where there is a smoker were selected. Assume that all necessary normality assumptions are met. Below are some summaries:

	mean	standard deviation
sample without smokers	5.2	2.3
sample with smokers	6.7	4.4
sample of differences	-1.5	6.1

The researcher wants to test whether the difference in the average air pollution between rooms without and with smokers exceeds 2. Show all steps of the testing procedure.

Solutions

Expert Solution

Let denote the average air pollution in rooms without smokers and with smokers respectively.

Conclusion in problem context :

There is sufficient evidence to support the claim that the difference in the average air pollution between rooms without and with smokers exceeds 2

orchestra answered 1 year ago

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