Question

An article in Environment International (Vol. 18, No. 4, 1992) 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 are shown in the following table. Orifice Diameter Radon Released (%) 0.37 80 84 83 85 0.51 75 75 79 79 0.71 74 73 76 77 1.02 67 72 74 74 1.40 62 62 66 69 1.99 60 61 64 66 (a) Does the size of the orifice affect the mean percentage of radon released? Use a = 0.05. Round all intermediate calculations to four decimal places (e.g. 12.3456). Since Fo= 31.4101 IS in the rejection region, there sufficient evidence to conclude that the mean percentage varies according to orifice diameter. (b) Find bounds on the P-value for the F-statistic in part (a). Use only Table VI of Appendix A. 0.05 P-value 0.10 V

Answer 1

Applying one way ANOVA (from excel: data -data analysis:)

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1169.3750	5	233.8750	32.3205	0.0000	2.7729
Within Groups	130.2500	18	7.2361
Total	1299.6250	23

since Fo =32.3205

b)

p value <0.0001