2. Text #6.7 a) A group of 100 rabbits is being used in a nutrition study. A prestudy weight is recorded for each rabbit. The average of these weights is 3.1 pounds. After two months, the experimenter wants to obtain a rough estimate of the average weight of the rabbits. She selects 10 rabbits at random and weighs them. The original weights and current weights for these 10 rabbits are given below. Estimate the average current weight of the 100 rabbits, using 2 both unbiased and ratio estimators, and find an estimate of the variance of the estimator in each case. What does the scatter plot suggest concerning the relationship between current weight and original weight for these rabbits? Find the correlation coefficient and CV(x), CV(y). Which estimator would you use in this case? Why? b) c) Rabbit Original weight Current weight Rabbit Original weight Current weight 1 3.2 4.1 2345 3.0 4.0 2.9 4.1 2.B 2.8 3.9 3.7 66218 3.1 41 7 3.0 4.2 3.2 4.1 9 2.9 3.9 10 2.8 3.8 ΣΥ = 39.9 Σyi = 159.43 Ex₁ = 29.7 Σχ = 88.43 Exty, -118.67