HomeWork3

“Every accomplishment starts with the decision to try.” Gail Devers 1 Homework 3 Course Animal Breeding | ANSC 3500 Student Due Date 10/02. 08 AM – 20 pts Purpose The purpose of this assignment is: To understand and apply the basic principles of statistics into animal breeding. It will help you think about performance variation and how they related to the selection of animals. How will you rock it? Make sure you read the questions and instructions thoroughly. Start working on the assignment as soon as possible . Where needed, show your work entirely. Watch for the rubrics and checklist for the math-based questions. You will be graded based on the rubrics presented on the questions. In all cases, I am here and will be here to help you. Just let me know how! J Rubric for each problem set In all cases where calculations are needed, show your work completely and use appropriate labels/notation . – 0.25 pt for each missing label/notation. Credits Standards 100% Calculations and answers are presented correctly. 70% Minor* calculation mistake. 50% Major* calculation mistake but with the correct thought process. 0% Incorrect thought process to solve the problem. Blank space. * Minor or Major calculation mistakes will be defined for each problem, and the criteria will apply to all students. Checklist [ ] Did you solve the problem step by step for each answer? [ ] Is your work organized, clean and easy to follow calculations? [ ] Did you use the correct units/labels (if needed)? Equations ! = ∑ ! ! " !#$ $ % % = ∑ (! ! − ! ) % " !#$ $ − 1 % = * ∑ (! ! − ! ) % " !#$ $ − 1 +, = % ! × 100 / &,( = +01(2, 4) (% ) )(% * ) +01 ) ! ,* ! = ∑ (2 ! -2 )(4 ! -4 ) n-1 ! !∙# = #$%(’, )) + # $ ! #∙! = #$%(’, )) + ! $ ) % = - ! + ! !∙# (/ % − - # ) Alex Awtrey

2 1. Aiming to identify the best animals in your herd, you compiled the records of your small cattle operation. The records are for birth weight and weaning weight. The data is in the table below. Animal Birth Weight (kg) Weaning weight (kg) 1 26 295 2 30 243 3 29 271 4 29 284 A. ( 2 pts) What is the mean for each trait? B. ( 4 pts) What is the variance for each trait? mean birth weight 26 30 29 29 4 28 5kg mean weaning weight 295 243 271 284 4 273.25kg Birth weight weaning weight 1 26 28 55 7.25 17 295 273.2512 470.5625 271243 273.2912 913.5625 2 30 28.532 2.25 3 129 28 572 0.25 311271 273.2512 5.0625 4 129 28.532 0.25 4 1284 273.2572 114.5625 variance of birth weight 7.25 2.25 0.25 0.25 4 2 5kg2 variance of weaning weight 470.56257913.5625 5.0625 114.5625 4 375.9375kg