Stats

The mean of sampling distribution : p hat

Stays the same

What happens to the shape of the distribution as n increases

It becomes normal distribution

How do we check that the sampling distribution is approximately normal?

• np >_ 10

• N(1-p) >_ 10

Finding the mean of the sampling distribution

It is P

Finding the standard deviation of the sampling distribution

p(1-p)/N

To check sampling distribution

• N * P ( is it greater than or equal to 10?)

• N(1-P) [ is it greater than or equal to 10?]

Mean of p hat equals…

P

Always use…

NormalCDF

• test 1

• Test 2

• Mean of p hat

• Standard deviation of sampling distribution

P is

The proportion of the population

P hat is

Measures the proportion of the sample

Bell shaped is

Approximately normal

When n is large and p hat isn’t too close to 0 or 1

The sampling distribution is approximately normal