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Statistics - Level of Significance - Hypothesis Testing

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A machine is adjusted so that when under control, the amount of sugar filled in a bag is normally distributed with a mean amount of 5 pounds. To check if the machine is under control, six bags were picked at random and their weights (in pounds) were found to be as follows:
5.3, 5.1, 4.9, 5.4, 4.9, 5.3
At the 5% level of significance, is there sufficient evidence to conclude that the machine is not under control (the mean amount of sugar is different from 5 pounds)?

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Solution Summary

A complete, neat and step-by-step solution addressing whether the machine is in control using a 5% level of significance. An Excel file is used.

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