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# Is the average weight of the filled pouches different from 8.8 ounces?

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Problem: You are working with a piece of manufacturing machinery that fills pouches; the pouch weight is supposed to be 8.8 ounces after being filled; you have been asked to see if the average weight is different from 8.8 ounces at the 0.05 level of significance.

You have a sample of 14 filled pouches with the following weights:

12 , 6 , 11 , 12 , 5 , 0 , 2 , 7 , 8 , 7 , 6 , 3 , 12 , 12

Use the 5 step hypothesis testing procedure to determine your conclusion.

https://brainmass.com/statistics/hypothesis-testing/solving-hypothesis-testing-question-261349

#### Solution Preview

Statistical Problem
Problem: you are working with a piece of manufacturing machinery that fills pouches; the pouch weight is supposed to be 8.8 ounces after being filled; you have been asked to see if the average weight is different from 8.8 ounces at the 0.05 level of significance.

You have a sample of 14 filled pouches with the following weights:

12 , 6 , 11 , 12 , 5 ...

#### Solution Summary

The solution provides step by step method for calculating the test statistic. Formula for the calculation and interpretations of the results are also included. This solution is presented in an attached Excel file and an attached Word file.

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