105k views
3 votes
For a biology lab experiment, you have to randomly select four mice. The mice to be chosen come from a population bred to weigh 30 grams, give or take 5 grams or so. The total weight T of the four mice will be___________ grams, give or take__________ grams or so. Use the Pythagorean property of standard errors.

User Guijob
by
9.1k points

1 Answer

4 votes

Answer:

120; 10

Explanation:

The total weight T of the four mice is simply the sum of each individual weight, assuming the mean value as true:


T=30+30+30+30 = 120\ grams

Pythagorean property of standard errors assumes that:


SD^2(X)+SD^2(Y)=SD^2(X\pm Y)

Therefore, the standard error of the total weight is:


SD(T) = √(5^2+5^2+5^2+5^2)\\ SD(T) = 10\ grams

The total weight T of the four mice will be 120 grams, give or take 10 grams or so.

User Kevin Lieser
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories