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Hypothesis testing of Mean: z test

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A process is supposed to produce aluminum castings with a mean weight of 1.223 kg. The weights follow a normal distribution with known standard deviation 0.084 kg.
(a) Set up hypotheses and a two-tailed decision rule to detect quality control violations using the .05 level of significance.
(b) From the following sample of 12 castings, what conclusion can you draw?
Aluminum
1.067 1.204 1.047 1.167 1.368 1.251
1.274 1.185 1.261 1.345 1.077 1.335.

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Solution Summary

The solution provides step-by-step method for the calculation of Z test for population mean. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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A process is supposed to produce aluminum castings with a mean weight of 1.223 kg. The weights follow a normal distribution with known standard deviation 0.084 kg.
(a) Set up hypotheses and a two-tailed decision rule to detect quality control ...

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