In response to drought, some plants react with reduced biological nitrogen fixation (BNF) hindering the ability to grow at a typical rate.  Scientists are working to develop techniques to supplement crops so that the BNF rate is not as greatly reduced during drought.  One promising treatment is to be compared to standard growing conditions on randomly selected acres of soybeans.  The following summary data is for the bushels per acre of soybeans for each group: A. What value would mark the 75th percentile for the control group?  Write your answer as a value without units!! B. What value would mark the 25th percentile for the treatment group?  Write your answer as a value without units!! C. Consider the control group, approximately how many units (acres in this case) are between the values 31.99 and 42.60? Write your answer as a whole number without units!! D. Using the values for the control group, find the difference between the median and the minimum as well as the difference between the maximum and the median.  Briefly explain how these two values tell you whether the distribution of data for the control group is symmetric or not symmetric. E. The maximum yield of the treated acres was 51.50 bushels of soybeans.  Is this an unusually high (outlier) value?  On a paper, justify or draw your answer using the 1.5(IQR) rule.

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PLEASE ANSWER ALL PARTS OF THE QUESTION A-E

In response to drought, some plants react with reduced biological nitrogen fixation (BNF) hindering the ability to grow at a typical rate.  Scientists are working to develop techniques to supplement crops so that the BNF rate is not as greatly reduced during drought.  One promising treatment is to be compared to standard growing conditions on randomly selected acres of soybeans.  The following summary data is for the bushels per acre of soybeans for each group:

A. What value would mark the 75th percentile for the control group?  Write your answer as a value without units!!

B. What value would mark the 25th percentile for the treatment group?  Write your answer as a value without units!!

C. Consider the control group, approximately how many units (acres in this case) are between the values 31.99 and 42.60? Write your answer as a whole number without units!!

D. Using the values for the control group, find the difference between the median and the minimum as well as the difference between the maximum and the median.  Briefly explain how these two values tell you whether the distribution of data for the control group is symmetric or not symmetric.

E. The maximum yield of the treated acres was 51.50 bushels of soybeans.  Is this an unusually high (outlier) value?  On a paper, justify or draw your answer using the 1.5(IQR) rule. 

 

Variable
Treatment
Control
Min
01
Med
Q3
Max
N
Mean StDev
30 43.555 3.937 36.46 40.52 42.78 46.46 51.50
27.14 31.99 35.60 42.60 46.27
38 35.813
6.576
Transcribed Image Text:Variable Treatment Control Min 01 Med Q3 Max N Mean StDev 30 43.555 3.937 36.46 40.52 42.78 46.46 51.50 27.14 31.99 35.60 42.60 46.27 38 35.813 6.576
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