when using the central limit theorem it is important to note two things; when the original variable is normally distributed, the distribution of

when using the central limit theorem it is important to note two things;

when the original variable is normally distributed, the distribution of sample means will be normally distributed, the distribution of sample means will be normally distributed regardless of sample size n

as n gets larger, the distribution of sample means will closely approximate a normal distribution. with n>30 the distribution is almost perfectly normal regardless of the shape of the original distribution. true or false