Dueling scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed, in grams, on each scale. The following data were obtained:

Construct a 98% confidence interval for mean difference in weight between the two scales.

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Specimen 1 2 3 4 5 6 7 8 9 10 Weight on scale 1 11.24 14.36 Weight on scale 2 11.27 14.40 8.31 10.50 23.44 9.12 13.46 6.44 12.41 8.35 10.53 23.41 9.16 13.50 6.43 19.35 12.44 19.34