A smog alert is issued when the amount of particulate matter in the air is found

Question

A smog alert is issued when the amount of particulate matter in the air is found to be greater than 7 ppm. Samples collected from 16 stations have a mean of 7.8 ppm and a standard deviation of 2 ppm. Is there enough evidence to issue a smog alert? Given your conclusion, are you at risk of making a Type I error or a Type II error? Provide your answer in the context of the problem. Report a 95% one-sided confidence interval for the mean particulate matter in the air. Perform a post-hoc power analysis. Compute the difference for which you have 80% power with a sample size of n = 16 stations. What assumptions have you had to make? How could you go about checking this assumption?

Explanation / Answer

A smog alert is issued when the amount of particulate matter in the air is found

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