1 Find the Z score for the 33rd percentile. 2 The relative area between any two

1 Find the Z score for the 33rd percentile.
2 The relative area between any two points of a normal distribution is always the same regardless of the size of the mean and standard deviation.
3 What are the three principles of the central limit theorem? What conditions must be met for it to be applicable?
4 Standard error of the mean (SE (xbar)) decreases as size n decreases.
5 Assume IQ scores are normally distributed with mean 100 and standard deviation 10. What is the probability that a person gets a score of 110 or higher?
6 The distribution of a population is less variable than the distribution of its sample means.
7 For normally distributed data with the sample mean=150 and sd=40 and sample size=100 what is the 95% confidence interval? What is the 99% confidence interval?
8 When would you use a t distribution instead of a Z distribution? When are these two distributions equivalent?