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CLT up to 2/16

Stat 2215Q - CLT, z, t, p̂

QuestionAnswer
What are the two requirements for CLT? -Random Sample -Same size
How do you calculate z? (x̄-μ(xbar))/σ(xbar) =(x̄-μ(xbar))/(σ/sqrt(n))
How do you find z if all you are given is alpha? Subtract (alpha/2) from 0.5 and then search for that number in the chart and work outwards
When do you use t score? If you are not given the μ (population mean)
In CLT what is μ and σ(xbar) equivalent to? σ(xbar) = σ/sqrt(n) μ = μ(xbar)
How do you find the confidence interval for z-score? μ = x̅ (+-) z(α/2)σ(xbar)
How do you find the degrees of freedom for t-score? n-1
How do you find the confidence interval for t-score? Same as z-score but use t instead of z and s inside the margin of error instead of σ
How do you calculate s for the t-score? sqrt((each number - x bar) over and over then / degrees of freedom)
What assumption do you always have to write? Assuming the prob dist'n of the (problem) is approximate normal and sample of (problem) is selected at random
What are the two hypothesis? Ho -> Null Hyp. Ha -> Alternative Hyp. (actual hyp.)
What are the two type pf errors and when do they occur? Reject Ho -> Type I (reject when true), prob of error is α Don't Reject Ho -> Type II (Don't reject when false), prob of error is β
How do you calculate t? (x̅ - μ(sub 0, claimed mu))/ margin of error
What are two examples of test statistics? z, t, and p̂ scores
What does p-score mean? The smallest probability of a type I error at which Ho can be rejected
What does it mean if the p-value is larger or smaller that alpa? -If larger than alpha then don't reject Ho -If smaller or equal then reject Ho
How do you calculate p-value? Take the test statistics and find the area (inside chart) then subtract by the region ( in z case 0.5)
What is p̂? It's basically just xbar
What is the standard deviation of p̂? sqrt(p(1-p)/n)
What is the margin of error for p̂? Same as the standard deviation just with p̂ instead of p's
How do you calculate z using p̂? (p̂ - p(sub 0, claimed value))sqrt(p(sub0)(1-psub)/n)
Created by: killerkite
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