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I4 Statistical Methods 1 (AElvtA 310) December 14, 2011, 9:00-12:00 Last name: Part I] (continued) SECOND EPISODE: According to Environment Canada, 50% of all municipally-treated

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I4 Statistical Methods 1 (AElvtA 310) December 14, 2011, 9:00-12:00 Last name: Part I] (continued) SECOND EPISODE: According to Environment Canada, 50% of all municipally-treated water is used during the summer months by people watering their lawns and gardens. In this episode, Dr. Therrien wants to assess if there is a linear correlation between the amount of water used per day and the mean daily air temperature in the summer for some municipality of Quebec. He collected data for 13 randomly sampled days of the summer, entered them in SAS, ran a PROC CORR analysis, and obtained the following output. The CORR Procedure 2 Variables: x y Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum x 13 25.000 3.39444 325.00 19.00000 31.00000 3; 13 1140 296.15818 14820 900000001800 Pearson Correlation Coefcients, N = 13 Prob > | r I under H0: Rho = D x Y X 1 .00000 0.74529 0.0034 5: 0.74629 1 .00000 0.0034 T) Is the linear correlation between the mean daily air temperature and the amount of municipal water used per day signicant ([1 = 0.05)? State clearly the hypotheses involved in the test of signicance; indicate the numerical information in the SAS output that supports either the acceptance or the rejection of the null hypothesis; describe briey the relationship and what Dr. Therrien should conclude

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