CLT means

# CLT means - Practice Problems for Central Limit Theorem 1 1...

This preview shows pages 1–2. Sign up to view the full content.

Practice Problems for Central Limit Theorem © 2010 Radha Bose FSU Department of Statistics 1 1. Let us suppose that the weights of baby elephants are Normally distributed with mean 224 lbs and standard deviation 53 lbs. (a) What is the probability that the mean weight of 18 randomly selected baby elephants is more than 245 lbs? (b) What is the probability that a single randomly selected baby elephant weighs more than 245 lbs? (c) Is it more likely that the weight of a single baby elephant or the mean weight of 18 baby elephants will be more than 245 lbs? (d) Your answer to part (c) illustrates that (A) means are less consistent (tend to stray from their center more) than individual observations. (B) means are more consistent (stay closer to their center more) than individual observations. (e) If there is a 0.11 probability that the mean weight of 18 baby elephants is above a certain amount but less than 224 lbs, what is that amount? 2. A certain psychological test that determines if a person has more of a "male brain" or a "female brain" is designed so that the mean score for men is 50. We may assume that the standard deviation of men's scores on this test is 25. (a) Is it safe for us to assume that the distribution of X = the mean score of a SRS of 12 men who take the test Normal enough for us to use Normal probability calculations? State YES or NO and give a reason

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This document was uploaded on 10/31/2011 for the course STAT STA2023 at FSU.

### Page1 / 6

CLT means - Practice Problems for Central Limit Theorem 1 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online