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In: Statistics and Probability

The Orange Machine Company supplies a tool for pouring cold medicine into bottles in such a...

  1. The Orange Machine Company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.25 g. A new filling process is tested on 71 bottles and the standard deviation for this sample is 3.87 g. Use a 0.05 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.25 g for the old process. Is the new process better in the sense of dispensing amounts that are more consistent?

Show the null hypothesis, alternative hypothesis, test statistic, P-value, or critical values as well

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