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
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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-
c) Consider the following three statements
A.The
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
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