Question

13.2.1 GO Tutorial X Note that we reject the null hypothesis of equal treatment means when the test statistic is large enough. 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 81 83 85 0.51 75 75 79 79 0.71 74 73 76 77 1.02 67 72 74 74 1.40 62 62 65 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). 0.67 Since Fo = is not in the rejection region, there is notv 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

a) Since F₀=31.271 is in the critical region , there is sufficient ......

(Here the critical region consists of values more than 2.772853)

b) The p value comes out as  2.839*10^-8, which is  lower than .00001.

The options are not given for (b) so the bounds are not possible to provide.

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