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A study was conducted to compare the mean sulfur dioxide concentrations for three cities. Independent random samples were obtained from each city and the concentration levels along with some summaries are provided below:
-Suppose the necessary assumptions hold. Using a 10% significance level, which of the following is the correct conclusion?
A) It appears that the mean concentration levels are the same for the three city populations.
B) It appears that at least one of the population mean concentration levels is different.
C) It appears that the population mean concentration levels are all different.

Question

Use the following information for questions:
 A study was conducted to compare the mean sulfur dioxide concentrations for three cities. Independent random samples were obtained from each city and the concentration levels along with some summaries are provided below: 
-Suppose the necessary assumptions hold. Using a 10% significance level, which of the following is the correct conclusion?
A) It appears that the mean concentration levels are the same for the three city populations. 
B) It appears that at least one of the population mean concentration levels is different. 
C) It appears that the population mean concentration levels are all different.

Quizplus · Accepted Answer

Given the context, this is a scenario typically analyzed using ANOVA (Analysis of Variance) which tests the null hypothesis that all group means are equal against the alternative hypothesis that at least one group mean is different. Choosing a 10% significance level and concluding that at least one of the population mean concentration levels is different suggests that the p-value was less than 0.10, leading to the rejection of the null hypothesis in favor of the alternative hypothesis.

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