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Test for a change after servicing a machine

The lengths of metal bars produced by a particular machine are normally distributed with mean length 420 cm and standard deviation 12 cm.

The machine is serviced, after which a sample of 100 bars gives a mean length of 423 cm.

Is there evidence, at the 5% level of significance, of a change in the mean length of the bars produced by the machine, assuming that the standard deviation remains the same?

CJC · Lecture · Example 2

Define the population mean and choose the alternative from the wording before calculating.

Read the worked solution