STA643 - Experimental Designs

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

Course Title Experimental Designs Course Code STA643 Activity Assignment # 1 Submission Deadline Date: Monday, Nov 22, 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. Assignment 1 Question no. 1: Test the hypothesis that the mean of a normal population with known variance 70 is 31, if a sample of size 13 gave x ̅ = 34. Let the alternative hypothesis be H1: µ > 31, and let α = 0.10. Questions no. 2: Explain in detail why it is not a good statistical procedure to perform several t-test on pairs of means , when several means are to be compared. Suggest the alternative statistical procedure and also give its assumptions.