44 terms

Stats Exam 1

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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?
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
Solving for Binomial step two
Use JMP to find CDF and PDF
Statistic
Given sample size; group
Solving for Statistic
x̅ or p̂
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
Solving for x̅ Theorem
find z-score
proportion or percent
Solving for p̂
np>= 5
nq>= 5

CLT
p̂ CLT
p̂~•N(p, √pq/n)

find z-score
Solving for p̂ step 2
np< 5
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)