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S9.4 - Confidence Intervals, Population Standard Deviation
Confidence Intervals for a Population Standard Deviation
9
Mathematics
Graduate
11/08/2013

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Term
Chi-square distribution, X^2 =
Definition
(n-1)s^2/sigma^2
n - 1 degrees of freedom
Term
1. Characteristics of the chi-square distribution
Definition
It is not symmetric
Term
2. Characteristics of the chi-square distribution
Definition
The shape of the chi-square distribution depends on the degrees of freedom
Term
3. Characteristics of the chi-square distribution
Definition
As the number of degrees of freedom increases, the chi-square distribution becomes more nearly symmetric
Term
4. Characteristics of the chi-square distribution
Definition
The values of X^2 are non-negative (>=0)
Term
S^2 is
Definition
The best point estimate of the population variance sigma^2
Term
Lower bound
Definition
[(n-1)s^2]/X^2(alpha/2)
Term
Upper bound
Definition
[(n-1)s^2]/X^2(1-alpha/2)
Term
Which method to use?
Definition
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