STA643 Assignment 2 Solution and Discussion

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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

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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