Question:

The Quality control department of a paper company measures the brightness (a measure of the reflectance) of finished paper on a periodic basis throughout the day. Two instruments that are available to measure the paper specimens are subject to error, but they can be adjusted so that the mean readings for a control paper specimen are the same for both instruments. Suppose you are concerned about the precision of the two instruments – namely that instrument 2 is less precise than instrument 1. To check this theory, five measurements of a single paper sample are made on both instruments. The data are shown below. Do the data provide sufficient evidence to indicate that instrument 2 is less precise than instrument 1? Assuming normality, you must be at least 90 confident in your conclusion before taking any action, if necessary.

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