VI. In the following example the researcher was interested in how the application of a fertilizer affected the height of sunflower plants. The fertilizer was applied to one test plot and the height of n= 20 sunflower plants in that test plot were measured 201.6 235.6 212.7 222.1 220.9 225.4 205.5 219.2 220.3 216.8 239.5 206.2 213.3 207.2 198.4 224.2 248.0 226.4 231.9 211.5 Σ4386.7 In addition no fertilizer was applied to a second test plot and the height of m = 15 sunflower plants in that test plot were measured. Er² = 965341.25 144.7 149.5 128.2 126.3 154.3 144.7 131.9 138.6 113.6 102.7 101.6 156.9 119.3 141.2 151.2 Σy- 2004.7 Ey² = 272453.21

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a) Determine the standard deviation (s) of sunflower heights in the test plot which wasnot fertilized and the Pseudo-Standard deviation (PSD) of sunflower heights in the test plotwhich was fertilized.

b) Consider the following three statements

         A.If the median of X is greater than the mean of X than the distribution of X ispositively skewed.

          B.For Normal populations the median and the mean are approximately equal.

          C.The median and the Inter-quartile range are measures of variability in apopulation.

c) Consider the following three statements

         A.The correlation between two positive quantities is always positive.

         B.If the correlation between X and Y is negative than the slope of        the regressionline for predicting Y from X is negative.

         C.Pearsons correlation coefficient is always between -1 and +1. This is notnecessarily true for Spearmans correlation coefficient

VI. In the following example the researcher was interested in how the application of a
fertilizer affected the height of sunflower plants. The fertilizer was applied to one
test plot and the height of n= 20 sunflower plants in that test plot were measured
201.6 235.6
212.7
222.1
220.9
225.4
205.5
219.2
220.3
216.8
239.5
206.2
213.3
207.2
198.4 224.2
248.0
226.4
231.9
211.5
Er² = 965341.25
Σ 4386.7
In addition no fertilizer was applied to a second test plot and the height of m = 15
sunflower plants in that test plot were measured.
144.7
149.5
128.2
126.3
154.3
144.7
131.9
138.6
113.6
102.7
101.6
156.9
119.3
141.2
151.2
Ey = 2004.7
Ey² = 272453.21
Transcribed Image Text:VI. In the following example the researcher was interested in how the application of a fertilizer affected the height of sunflower plants. The fertilizer was applied to one test plot and the height of n= 20 sunflower plants in that test plot were measured 201.6 235.6 212.7 222.1 220.9 225.4 205.5 219.2 220.3 216.8 239.5 206.2 213.3 207.2 198.4 224.2 248.0 226.4 231.9 211.5 Er² = 965341.25 Σ 4386.7 In addition no fertilizer was applied to a second test plot and the height of m = 15 sunflower plants in that test plot were measured. 144.7 149.5 128.2 126.3 154.3 144.7 131.9 138.6 113.6 102.7 101.6 156.9 119.3 141.2 151.2 Ey = 2004.7 Ey² = 272453.21
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