44 terms

Solving for X Normal

Find z-score

X

Single object or individual

Solving for X not Normal

Uniform, Binomial, or S

Uniform Def.

All random variables have the same or constant probability

Binomial 5 Qs

1. Counting number of successes?

2. Finite number of trials?

3. Only two outcomes?

4. Constant probability?

5. Independent trials?

2. Finite number of trials?

3. Only two outcomes?

4. Constant probability?

5. Independent trials?

Solving for Uniform

Find area of the rectangle

Area of the rectangle

B(h)

Height Formula

1/d-c

Solving for Binomial

if

np>= 5

nq>= 5

then convert to p̂ = x/n and solve as a p̂ problem

np>= 5

nq>= 5

then convert to p̂ = x/n and solve as a p̂ problem

Solving for Binomial step two

Use JMP to find CDF and PDF

Statistic

Given sample size; group

Solving for Statistic

x̅ or p̂

x̅

mean or average

Solving for x̅ Normal

The Theorem

x̅ the Theorem

x̅ ~N( μ, σ/√n)

x̅ Central Limit Theorem

x̅ ~•N( μ, σ/√n)

Solving for x̅ Not Normal

CLT

Solving for x̅ CLT

n>=30

find z-score

find z-score

Solving for x̅ Theorem

find z-score

p̂

proportion or percent

Solving for p̂

np>= 5

nq>= 5

CLT

nq>= 5

CLT

p̂ CLT

p̂~•N(p, √pq/n)

find z-score

find z-score

Solving for p̂ step 2

np< 5

nq< 5

convert p̂ to x=n(p̂) and work as binomial

nq< 5

convert p̂ to x=n(p̂) and work as binomial

Mean Formula

μ=np

Variance Formula

σ²= npq

Standard Deviation

σ = √npq

PMF definition

Gives probability at a point

CDF definition

Gives cumulative probability

PMF graph

histogram

CDF graph

step function

PMF Notation

f(x)=P(X=x)

CDF Notation

F(x)=p(X<=x)

Uniform PDF

Solves for height

Solving for X variable

X=μ+zσ

Variance

Measure of dispersion if the data is symmetric

Mean

Measure of central tendency if the data is symmetric

Median

Measure of central tendency if the data is skewed

IQR

Measure of dispersion if the data is skewed

PMF graph

histogram

CDF graph

Step function

PMF Probability

Exact number

CDF Probability

Add to equal 1

PMF

f(x)

CDF

F(x)