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Statistics - Hypothesis Test

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A cereal manufacturer wants to determine if the filling machine is operating to specifications. The machine is specified to fill to a 12oz level. A sample of 100 boxes of cereal is taken from the packaging line. The mean of samples is 11.85 oz., with a standard deviation of 0.5 oz. The level of significance is 0.05.

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Solution Summary

A complete, neat and step-by-step solution to the hypothesis testing is provided to determine if the cereal manufacturer's filing machine is operating to specifications.

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1) First, we define our null hypothesis.

H0: m = 12 vs Ha: m is not equal to 12

2) We then use our data on number of observations, hypothesized mean, sample mean, and a z-table to find the ...

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