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Problem 9.4 Studies were conducted in a metropolitan area to determine the concentration of carbon monoxide near a large highway. There are concerns that the
Problem 9.4 Studies were conducted in a metropolitan area to determine the concentration of carbon monoxide near a large highway. There are concerns that the average concentration of carbon monoxide exceeds 100 parts per million (ppm) at this location. The researchers captured air in bags and used a spectrophotometer to determine the concentration of carbon monoxide. Below are the results for 25 randomly chosen times over a period of 6 months: 100.1 101.9 101.3 102.1 98.3 100.3 100.2 109.6 98.5 92.0 103.7 108.5 104.9 109.8 95.3 93.1 107.0 92.1 109.2 93.2 93.1 107.3 97.1 104.4 102.3 For this sample, the mean and standard deviation are 101.012 ppm and 5.7644 ppm, respec tively. Assume that the data is normally distributed. (a) Formulate the null and alternative hypotheses to test that the average concentration of carbon monoxide exceeds 100 ppm. (b) Interpret the type I error in the context of this question. (c) Interpret the type 11 error in the context of this question. (e) Compute the pvalue of the test the hypotheses formulated in part (a). Give your conclu sion at the signicance level a = 0.10. (f) If your conclusion in part (e) is wrong7 did you commit a type I error or a type 11 error
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