Flashcards
Stats Chapter 2
Cards in this deck (6)
- 1Confidence Interval for µ when sigma known for N(µ,sigma^2)[X - z(alpha/2)(sigma/sqrt n) , X + z(alpha/2)(sigma/sqrt n)]
is a 100(1-alpha)% Confidence interval for µ when sigma is KNOWN. - 2What distribution to use when sigma is unknown?t
- 3Confidence Interval for µ when sigma unknownt has n-1 dof
[X - t(alpha/2)(sigmahat/sqrt n) , X + t(alpha/2)(sigmahat/sqrt n)]
is a 100(1-alpha)% confidence interval for µ when sigma is UNKNOWN! - 4Confidence Interval for sigma squared?Let S^2 = 1/n-1 SUM(i=1 to n) (Xi - X)^2
(n-1)S^2/ Khi^2(alpha2) , (n-1)S^2 / Khi^2(1-alpha1)
Here, Khi has n-1 dof - 5Confidence Interval for a population proportionXn ~ B(n,pi). Let pn = 1/n Xn
100(1-alpha)% C.I. for pi is
[Pn - z(alpha/2)sqrt(pn(1-pn)/n) , Pn + z(alpha/2)sqrt(pn(1-pn)/n] - 6If it asks about population, what do you use?n > z(alpha/2)^2 times pn(1-pn)/epsilon^2
Where epsilon is the standard error.
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- BSc Maths (Statistics II) Flashcards on Stats Chapter 2, created by joe.clay11 on 23/07/2013.
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