STA643 Assignment 2 Solution and Discussion

Course Title Experimental Designs
Course Code STA643
Activity Assignment # 2
Submission Deadline Date: Monday, Dec 09, 2019
Time: 23:59 Hours (Midnight)Instructions to attempt assignment:
• You can use/make a single table for all necessary computations.
• Use calculator for calculations.
• Write the complete formulas and all steps, wherever necessary.
• For writing symbols, use MathType software. If you already did not download it, get it from here.
• Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation.Question1:
An Experiment was conducted compare the yields of three varieties of potatoes. Each variety was assigned at random to equal size plots, four times. The yields were as follows:Varieties A B C 23 18 16 26 28 25 20 17 12 17 21 14 Test the hypothesis that the three verities of potatoes are not different in the yielding capabilities.
Question2:
Complete the ANOVA table.Source of variation Sum of squares Degrees of freedom Mean square F B/W treatments 4 19.860 6.90 Error Total 137.040 24

Q. 1
Varieties A B C 23 18 16 26 28 25 20 17 12 17 21 14 Test the hypothesis that the three verities of potatoes are not different in the yielding capabilities.
Solution Q.1:
Q.2 Solution:
Complete the ANOVA table.
Source of variation Sum of squares Degrees of freedom Mean square F B/W treatments 79.44 4 19.860 6.90 Error 57.600 20 2.88 Total 137.040 24