Exercise: Sample Size
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Situation:
The manager of a lumber yard wants to assess the performance of a sawmill that cuts beams that are supposed to be 100 cm long with a tolerance of ±0.5 cm. The manager has some historical data that indicate a mean of 99.5 cm with a standard deviation of 0.9 cm. Using this information, determine the sample size necessary for the manager to perform a 1-sample t-test to determine if the beams are being cut at a length of 100 cm.
The manager wants to have a 90% chance of detecting the difference between the population mean and the target value of 100 cm.
Question:
What should the minimum sample size be?
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