Reference no: EM133559785
The birth weight of offspring of litter bearing species is often associated with the number of animals in the litter.
a. Calculate the sample mean and standard deviation for l and matter size and average birth weight. For convenience let variable X indicate litter size and variable Y indicate average birth weight.
b. Given your answer above, what range of litter size would you expect 95% of your samples to fall within? (note that a sample of 7 individuals is usually not enough to accurately represent a population, but assume it does for this question)
c. What is the covariance of litter size and the average birth weight of piglets given these data?
d. What is the correlation between litter size and average birth weight?
e. You have a pregnant sow (Sow A) that, by ultrasound, appears to be carrying 14 piglets. Assuming that is correct, what do you expect the average birth weight of her piglets to be?
f. Another sow (Sow B) was found to likely be carrying 9 piglets. If that is correct, do you expect her piglets to be lighter, or heavier, on average, than those of Sow A? By how much?