# An article in Environment International describes an experiment in which the amount of radon released in...

###### Question:

An article in Environment International describes an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the experiment, and six different orifice diameters were tested in shower heads. The data from the experiment (in the order collected) are shown in the following table. Orifice Diameter (mm) | 140 51 37 51 102 51 199 102 102 51 140 37 37 71 140 140 71 102 37 199 51 71 199 140 37 199 102 71 71 199 Radon Released (%) 60.6 69.1 83.9 72.0 61.7 74.6 55.4 67.1 71.5 71.5 61.9 77.5 78.9 77.6 64.7 58.6 72.3 57.9 77.0 62.8 74.6 67.6 55.6 60.9 77.3 48.9 58.4 69.6 67.6 57.5 a) What is the response? What is the factor? How many levels of the factor are used? How many replicates were used? Does the size of the orifice affect the mean percentage of radon released? Conduct an ANOVA. Use a-0.05 to determine significance b) c) Analyze the residuals from this experiment. Do you think the ANOVA assumptions are satisfied? why or why not? d) Which orifice diameter(s) produced the statistically significant minimum mean radon released? Use a- 0.05 e it an appropriate regression model relating orifice diameter to radon released. Be sure to analyze the residuals from your regression analysis f What is the R value associated with your regression model. What does this mean? g) Predict the radon released with an orifice diameter of 172 h) Construct a 95% prediction interval (two tailed) for an orifice diameter of 172

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