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It is well known that power surges or line "spikes" can damage sensitive electronic equipment A study of the surges was conducted to ascertain whether or not there are differences in the average frequency of the surges among the seven days of the week. Over a randomly selected ten-week period, the number of spikes was observed for ten 24-hour periods for each of the seven days in the week. The resulting data are as follows: Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 25 24 16 22 33 28 35 21 20 20 17 28 20 20 19 19 19 44 31 29 20 16 21 21 33 21 19 21 21 17 19 33 26 19 13 13 36 22 23 24 23 27 28 22 26 21 15 23 15 27 20 30 18 20 23 20 22 22 29 22 L 14 23 20 16 26 29 Using analysis of variance, state the correct hypothesis for testing equality of means and conduct the appropriate ANOVA test. State your conclusion.It is well known that power surges or line "spikes" can damage sensitive electronic equipment A study of the surges was conducted to ascertain whether or not there are differences in the average frequency of the surges among the seven days of the week. Over a randomly selected ten-week period, the number of spikes was observed for ten 24-hour periods for each of the seven days in the week. The resulting data are as follows: Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 25 24 16 22 33 28 35 21 2:0 20 17 28 20 20 19 19 19 44 31 29 20 16 21 21 33 21 19 21 21 17 19 33 26 20 19 13 13 36 22 23 25 24 23 27 28 26 21 15 23 15 27 20 30 18 20 23 20 22 22 29 22 L 14 23 20 16 26 29 Repeat Exercise 65 using Tukey's test. Do you get different results in Exercises 65 and 66? If so, explain the reasons for these differences.I'M Show that in the two-way fixed-effects model IM IMShow that in the two-way classification fixed-effects model the null hypothesis = Pan is equivalent to #;: 0; = 0, / = 1, 2, . . . , @, and that the null hypothesis . . is equivalent to H.: B, = 0. = 1, 2. b-Ozonization as a secondary treatment for effluent, following absorption by ferrous chloride, was studied for three reaction times and three pH levels. The study yielded the following results for effluent decline: Reaction time (minutes) PH level Effluent decline 20 7.0 23, 21. 22 90 16, 18. 15 10.5 14. 13, 16 40 7.0 20, 22, 19 90 14, 13, 12 10.5 12, 11, 10 7:0 21, 20. 19 9.0 13, 12, 12 10.5 11, 13, 12 Assuming the two-way classification model with fixed effects, write the model for this experiment and explain what each parameter represents in the context of this experiment.Ozonization as a secondary treatment for effluent, following absorption by ferrous chloride, was studied for three reaction times and three pH levels. The study yielded the following results for effluent decline: Reaction time (minutes) PH level Effluent decline 20 7.0 23, 21. 22 90 16, 18, 15 10.5 14. 13. 16 40 7.0 20, 22, 19 90 14, 13, 12 10.5 12, 11, 10 7:0 21, 20. 19 9.0 13, 12, 12 10.5 11, 13, 12 State the null hypothesis to be tested first.Ozonization as a secondary treatment for effluent, following absorption by ferrous chloride, was studied for three reaction times and three ph levels. The study yielded the following results for effluent decline: Reaction time (minutes) PH level Effluent decline 20 7.0 23. 21. 22 9.0 16, 18, 15 10.5 14, 13. 16 40 7.0 20. 22, 19 90 14, 13, 12 10.5 12, 11, 10 7:0 21, 20. 19 9.0 13, 12, 12 10.5 11, 13, 12 Is it necessary to conduct one-way analyses on a level-by-level basis to be able to describe the nature of the differences in main effects? Explain.Decomposition of leaf packs was studied for four environments and three time lengths of exposure. The measurements were in grams of weight loss of leaf packs. The study yielded the following results: Time Environment 1 month 2 months 3 months 1 09 1.35 1.60 1.06 1.53 1.40 1.16 1.38 2.18 1.03 1.35 1.77 1.01 1.63 1.66 1.04 1.51 1.98 EA 0.90 1.60 1.73 1.03 1.72 1.76 Assuming the two-way classification model with fixed effects, write the model for this experiment and explain what each parameter represents in the context of this experiment.Decomposition of leaf packs was studied for four environments and three time lengths of exposure. The measurements were in grams of weight loss of leaf packs. The study yielded the following results: Time Environment 1 month 2 months 3 months EI 1.09 1.35 1.60 1.06 1.53 1.40 1.16 1.38 2.18 1.03 1.35 1.77 1.01 1.63 1.66 1.04 1.51 1.98 EA 0.90 1.60 1.73 1.03 1.72 1.76 Which combination of environment and time seems to yield the greatest decomposition of leaf packs?Each table given shows the theoretical treatment means for each of four treatments in each of three blocks. Graph these means in a manner similar to that of Fig. 13.3. In each case, decide whether or not there is interaction between blocks and treatments. Treatment Block A B C D (a) Treatment Block A B C D (b) Treatment Block A B C D (c) FIGURE 13.3 (a) Additive effects-no interaction (line segments are parallel); (b) interaction exists (line segments are not parallel). Block 1 Block I Block 2 Block 2 A C A Treatment Treatment (a) (6)