Unit 4 Test

Question 1

Binomial

Answer 1

1. Finite number of trials
2. Trials are independent
3. Each trial is “success” or “fail”
4. P(success)=p P(fail)=1-p (q)

Question 2

binomcdf(

Answer 2

x <2 (more than 1 number)

Can only go down so turn it around

Question 3

Mean and standard dev of Binomial

Answer 3

Mx= n•p
_______
Óx= /n•p•q

Ex: Mx = 5(.25)= 1.25
__________
Óx= /5•.25•.75

Question 4

Binomials are normal if…

Answer 4

np>10

nq>10

Question 5

The central limit theorem for proportions

Answer 5

• take big sample from a population whose got some p over and over again
• sample proportions will be approximately normally distributed with the following properties

Mp=p
_____
Óp=/pq/n

Question 6

The central limit theorem for means

Answer 6

•take samples from ANY pop and record the mean

•the sampling distribution of those means will ALWAYS have these properties 
   _
Mx= M
   _           _
Óx= Ó / /n

Question 7

What if the pop is normal to begin with

Answer 7

• sample size doesn’t matter

* same rules apply for means and standard dev

Question 8

If not normal

Answer 8

Take big sample

n>30