An article in the Australian Journal of Agricultural Research, \"Non-Starch Poly

Question

An article in the Australian Journal of Agricultural Research, "Non-Starch Polysaccharides and Broiler Performance on Diets Containing Soyabean Meal as the Sole Protein Concentrate" (1993, Vol. 44, No. 8, pp. 1483-1499) determined the essential amino acid (Lysine) composition level of soybean meals are as shown below (g/kg): Construct a 95% two-sided confidence interval for sigma^2. Round the answers to 2 decimal places. Calculate a 95% lower confidence bound for sigma^2. Round the answer to 2 decimal places. Calculate a 99% lower confidence bound for sigma. Round the answer to 2 decimal places.

Explanation / Answer

a) Compute sample standard deviation, s=2.015.

95% c.i=(n-1)s^2/X^20.025 <=sigma^2<=(n-1)s^2/X^20.975

=(9-1)2.015^2/17.53<=sigma^2<= (9-1)/2.015^2/2.180

= 1.85 <= sigma^2<= 14.90

b) 1.85

c) sqrt(n-1)s^2/X^0.005=sqrt(9-1)2.015^2/21.955=1.22

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