3. (environmental studies) Is5 total points How do nematodes (microscopic worms)

Question

3. (environmental studies) Is5 total points How do nematodes (microscopic worms) affect plant growth? Moore (1999) prepared 16 identical planting pots and then introduced different numbers of nematodes into the pots. A tomato seedling was transplanted into each pot (with the 16 seedlings chosen representatively from the same genetic stock), and the increase in height (in cm) days after planting was recorded for each plant, with the following results: Nematodes Seedling Growth (cm) n Mean SD 10.8 9.1 13.5 9.2 4 10.65 2.05 1,000 11.1 11.1 8.2 11.3 4 10.43 1.49 5,000 5.4 4.6 7.4 5.0 4 5.60 1.24 10,000 5.8 5.3 3.2 7.5 4 5.45 1.77 Figure 2 gives some descriptive and inferential summaries of this data set. nematodes nematodes- oneway of Growth by Nematodes nematodes Nematodes Growth 15 0 108 25 135 Columns (20) 1000 11.1 Nematodes 1000 o 75 11.1 Growth 62 1000 1000 113 9 5000 54 10 4,6 25 11 5000 74 10000 12 5000 5 AI rows 16 13 100000 59 Nematodes Selected 14 100000 One way Anova 15 100000 Summary of Fit 16 10000 75 0.75124 Ad Rsquare 0.68905 Root Mean Square Error 1666521 Mean of Response 8.03125 observations or sum wgs) 16 Analysis of variance DF Sum of squares Mean square FRatio Prob >F Nematodes 100.64688 335490 12.0797 00006 Error 12 32750 2.7773 C. Total 15 13397438 Means for Oneway Anova Level Number Mean Std Error Lower 95% upper 95% 4 06500 083326 8.8345 12.466 4 104250 083326 8.6095 12.24 4 56000 083326 3.7845 7416 10000 4 5.4500 083326 36345 7.266 Std Error uses apooled estimate of error variance Figure 2: Descriptive and inferential summaries of the nematode data in JMP

Explanation / Answer

(a) Since averages of 0 and 1000 levels are almost double of levels 5000 and 10,000. We therefore can conclude that the mean levels of growth across the 4 levels of nematodes differ by an amount that seems large.

(b) Since p-value for Nematodes is 0.0006 which is less than 0.05, we reject the null hypothesis of equality. We therefore can conclude that the mean levels of growth across the 4 levels of nematodes significantly differ by an amount that seems large.

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