A company produces water disinfection products and packs it in 1 kg sachets with a population  standard deviation of 26 grams. A new low-cost packing machine is under test; if the weight of the  packed sachets show more variability, it would be undesirable. A sample of 20 packets yielded s = 35.0 grams, in line with suspicions. As a check, the company wishes to test H0: σ ≤ 26 g against H1: σ > 26  g at a significance level of 5%. [Hint: Use one sided chi- square test]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A company produces water disinfection products and packs it in 1 kg sachets with a population 
standard deviation of 26 grams. A new low-cost packing machine is under test; if the weight of the 
packed sachets show more variability, it would be undesirable. A sample of 20 packets yielded s = 35.0
grams, in line with suspicions. As a check, the company wishes to test H0: σ ≤ 26 g against H1: σ > 26 
g at a significance level of 5%. [Hint: Use one sided chi- square test] 

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