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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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