Chapter 10 Exercises 207 groups. From previous experiments, we estimate the with

Question

Chapter 10 Exercises 207 groups. From previous experiments, we estimate the within-groups variability. 2, to be 1.54(C)2. If the 5% level of significance is employed, what is the probability of the ANOVA 10.3 For the experiment of Exercise 10.2, how many replicates are needed in each of the five groups 10.4 For the experiment of Exercise 10.2, what is the smallest difference between population means 10.5 Using the Kruskal-Wallis test, test nonparametrically the appropriate hypotheses for the data detecting a difference as small as 2.0°C between population means? to detect a difference as small as 2.0°C between population means, with 95% power? that we are 95% likely to detect with an ANOVA using ten replicates per group? of Exercise 10.1 10.6 Three different methods were used to determine the dissolved oxygen content of lake water. Each of the three methods was applied to a sample of water six times, with the following results. Test the null hypothesis that the three methods yield equally variable results (of- gil Method I Method 2 Method 3 (mg/kg) (mg/kg) (mgkg) 10.96 10.8810.73 10.7710.75 10.79 10.90 10.80 10.78 10.69 1080 10.69 10.81 10.82 1087 1081 10.87 10.70 10.88 10.60 10.82 10.81 10.7 The following statistics were obtained from measurements of the circumferences of trees of four species. Test whether the coefficients of variation of circumferences are the same among the four species. Species B Species A Species Species H 54 .748 s2 (m2): 0.488219 0.2791730.142456 0.203208 40 2.126 58 1.350 32 1.392 x (m):

Explanation / Answer

(10.5)Answer: Hypothesis for Kruskal-Wallis Test

Null hypothesis: Null hypothesis assumes that the samples (groups) are from identical populations.

Alternative hypothesis: Alternative hypothesis assumes that at least one of the samples (groups) comes from a different population than the others.

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