Last Thursday, our teacher has reviewed us about the topic confidence intervals for variances and standard deviation. She explained to us the use of the Chi- Square Distribution.
Chi- Distribution is similar to the t distribution, it is like a family of curves based on the number of degrees of freedom. it is obtain from the values of (n-1)
S2 / square of the standard deviation when a random sample are selected from a normally distributed.
To get the confidence interval, you need to get the
X2 right which is obtain by subtracting the percentage of the confidence interval from 1 and then divide it by 2 and then find it to the row corresponding to the dgree of freedom and
X2 left which is obtain by subtracting the value of a/2 from 1 then find its row corresponding to its degree of freedom In finding the confidence interval for variances and standard deviation you will also need to find the value of n, and standard deviation or variance. Then substitute it to formula.
By: Dustin Joshua Esquia
III- Gold
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