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A plant produces rods with a specified 20 cm diameter. The standard deviation is 0.4 cm...

A plant produces rods with a specified 20 cm diameter. The standard deviation is 0.4 cm . A decision rule must be established for determining when to correct for over- or undersized output. That choice will be based on a sample of 100 rods, with a 0.01 level of significance. Write the null and alternative hypotheses. Draw the sampling distribution of the mean assuming the null hypothesis is true and label the reject region, what action should be taken if the sample mean is 19.96 cm?

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