central limit theorem

Question 1

distribution of sample means

Answer 1

form normal distribution
looks same as normal distribution for individuals within a group
each sample has mix of scores and high cancelled out by low
sd around sample means is smaller than population means

Question 2

is the sample is large or population is normally distributed then

Answer 2

an infinite number of sample means plotted form a normal distribution

Question 3

sample distribution properties

Answer 3

sd of sample means smaller than sd of individual pop values
new sd formula
called standard error

Question 4

standard error formula

Answer 4

SE = SD/square root n

Question 5

if null hypothesis is not true

Answer 5

the sample mean is in the rarest 5 %