Question

QUESTION 2 Given the following weights, find the 90% CI for the variance of the weights: 1 2 3 4 5 6 7 00 ON 10 61 53 53 52 53 54 53 51 54 55

Answer 1

Solo to Od. To finti 90% CI for the variance of wei weights. calculate the 90% ( I we have to beculate s² = 3 coln-81)2 from the (n-1) Data where 4 = I ar nal lo on to nay = = 53.9 olur de 50.41 0.8) s.no i sin 1 61 53 3 53 4 52 5 54 7 53 51 g 54 SS Houtwet 81-8 7.1 -0.9 -0.9 -1.9 -0.9 tool - 0.9 -2.9 to. I 1.1 3.61 0.8 53 6 .ol 8 0.81 8.41 O.Ol 10 1.21 F 그 Total 66.9 =) s² = 66.9 66.9 (10-1) g as s² colm -7 12 and n=10 nal n-l

noch 90% Confitence Interval for variance are given by (n-1) 82 <622 M-1) s? 7212 22 - 2/2 nou al s² = 66.2 and nzlo 9 (10-1) 66.9 262 < (10-1) 66.9 X² ial 9 = 9x66.9 <62 € 9x66.9 Xhen 9 Xiah 9 2) 66.9 € 62 € 66.9 x 1-2/ for 90% confidence level Q = 10%. =) Q=0.1 66.9 - 62€ 66.9 = ) x².05 x²0.95 nocy from chilquare table with degree of freeton g Cue have X²0,05 = 16.91 ont X8.gs = 3.325

790% 6? Confidence Interval for 66.9 16.91 66.9 3.325 = (3.956, 20.12) = 90% confidence Internal for Variance in (3.956,20.12 ) Done
Thumbs Up