Week 5 Flashcards
What is a hypothesis?
A statement about the value of a population parameter subject to verification.
What is one sample testing?
Sample vs. Population
What is two sample testing?
Sample vs. sample
3 assumptions for 1ST?
Random sampling is used
Measurement level is interval or ratio
Sampling distribution is normal
3 situations for one sample testing? (σ and n)
σ is known - z distribution
σ is unknown, n is large - z distribution
σ is unknown, n is small - t-distribution (use n-1 DofF)
What can you never prove?
That the null hypothesis IS correct
Equation for z-dist sample 1ST?
Z = (xbar - μ)/(σ/route n)
Equation for t-dist. 1ST?
t = (xbar - μ)/(s/route n)
n-1 DofF
3 assumptions for 2ST?
2 independent random variables
Measurement level is interval or ratio
Sampling dist. is normal
How to select 2ST test statistic?
Same as one ST
If t distribution do n1 + n2 - 2 to find DofF
Equations for 2ST for z-dist.?
Z = (xbar1 -xbar2)/A
A = route of Σ(σ^2/n + σ^2/n)
If only sample sd known, exactly the same but σ is replaced with s
Equation for t-dist. for 2ST?
Dunno
Way to interpret the results of a 2ST further?
Check z for one tail dist. too
What is a type 1 error?
Error of incorrectly rejecting a H0 that is actually true (use smaller α)
What is a type 2 error?
Error of failing to reject a H0 that is actually false (use larger α)