Mathematics, Agricultural Statistics and Operations Research Flashcards
Tambong - Part 2
Based on PhilMech’s 2011 and 2012 agricultural statistics of Asian countries, the Philippine farm mechanization showed an upswing trend which recorded an average mechanization level of 1.23 hp/ha; rice and corn farms registered the highest level of available farm power at 2.31 hp/ha (Philippine Official Gazette, 2013). For the Philippines to level up with Japan, the leader in Asia, agricultural and biosystems engineers should know Japan’s statistics. What was the average level of farm mechanization in Japan as of 2012?
7 hp/ha
Based on the agricultural statistics survey of PhilMech in 2011 and 2012, ____ percent of the total farm power is available for use in production operations while the remaining percentage is used for postharvest operations.
70
An applied science that is concerned with quantitative decision problems that generally involve the allocation and control of limited resources
Operations research
You are the project engineer of an ABE company having a project involving 3 constraints, 5 stages and 18 locations. To minimize project duration, which technique will you use?
Project Evaluation and Review Technique (PERT) / Critical Path Method (CPM)
The equivalence of ln e^(y+z)/2
From the rules on natural logarithm, ln e^x = x
ln e^(y+z)/2 = (x+y)/2
= 0.5(x+y)
The factorial of 10 less factorial of 9.
Solution:
10! - 9! = 3,628,800 – 362,880
= 3,265,920
In an experiment, the total degrees of freedom increase as ___________ increases
Replication
In a rice yield experiment, pre-experiment data shows varying soil fertility in the field. What experimental design should be used such that the effects of blocking can be determined?
Randomized Complete Block Design (RCBD)
A ranch is composed of 2,500 heads of Holstein-Friesian and 7,500 heads of Brown Swiss cattle. Thirty representative heads are to be selected at random for use in an experiment. What is the probability that a Brown Swiss will be randomly picked up at first selection?
Probability = Number of heads of Brown Swiss / Total Number of Heads x 100%
= 7,500 / (2,500+7,500) x 100%
= 75%
A single-factor experiment using completely randomized experimental design results to the following statistical values: treatment sum of squares of 2,510.5, error mean square error of 13.4, error degrees of freedom of 12 and total degrees of freedom of 14. How many treatments are involved?
Solution:
Tr DF = Total DF – Error DF = 14-12 = 2
No. of treatments = Tr DF + 1 = 2+1 = 3
In random sampling for the location of different treatments in the field, the labels for Treatments 1, 2, 3, 4 and 5 were placed inside a box. Treatment 3 came out in the first pick. What is the probability that you can pick Treatment 1 in the second pick?
Probability = 1/No. of Treatments Left Unpicked = 1/(5-1) = 0.25 = 25%
The return period of a flood stage of 5 meters or more is 2 years. What is the probability that this event will be reached next year?
50%
