# Central Limit Theorem

3 Questions

QUESTION 1 of 3

Hello professor. i have a question on number 12 for section 6.2. i know you touched on it in class yesterday but I'm still not quite getting it.

QUESTION 2 of 3

Hi professor, what chapter is finding the probability of randomly selecting n.. that have an average.. ? number 2 in the Normal Distribution cases in exam 4's formula sheet?

QUESTION 3 of 3

Hi Professor,

I had another question about Now You Try It! For Section 6.2. If your looking for the average weight between 40 and 41 wouldn't you add the areas 0.4911 and 0.4370, instead of subtracting? Also, can you go through the problem.

Thank you,
Natalie

Question:
It is recommended that backpacks weigh less than 1/4
th of your body weight. The average backpack with four textbooks and school supplies weighs 38.2 pounds with a standard deviation 7.1 pounds. If a randomly selected group of 36 backpacks is
weighed what is the probability that the average weight for the packs is between 40
and 41 pounds?