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July 23, 2014

July 23, 2014

Posted by **MBAhopeful** on Saturday, October 3, 2009 at 10:50am.

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At the 0.05 level of significance, is there evidence that the population standard deviation differs from 0.25 ounces?

What assumptions are made in order to perform this test?

- statistics -
**MathMate**, Saturday, October 3, 2009 at 1:26pmFirst establish a null hypothesis

H0 : population σ² = 0.25²

n = 30

Calculate the sample variance, s.

calculate the Χ² statistic

Χ² = (n-1)*s²/σ²

Look up the Χ² table for 29 degrees of freedom and 5 and 95% levels of confidence.

If the calculated Χ² falls between these limits, the null hypothesis is not rejected.

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