The article "Combined Analysis of Real-Time Kinematic GPS Equipment and Its Users for Height Determination" (W. Featherstone and M. Stewart, Journal of Surveying Engineering, 2001:31-51) presents a study of the accuracy of global positioning system (GPS) equipment in measuring heights. Three types of equipment were studied, and each was used to make measurements at four different base stations (in the article a fifth station was included, for which the results differed considerably from the other four). There were 60 measurements made with each piece of equipment at each base. The means and standard deviations of the measurement errors (in mm) are presented in the following table for each combination of equipment type and base station.

a. Construct an ANOVA table. You may give ranges for the P-values.
b. The question of interest is whether the mean error differs among instruments. It is not of interest to determine whether the error differs among base stations. For this reason, a surveyor suggests treating this as a randomized complete block design, with the base stations as the blocks. Is this appropriate? Explain.

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Instrument A Instrument B Instrument C Standard Deviation Standard Deviation Standard Deviation Mean Mean Mean Base 0 Base 1 Base 2 Base 3 15 26 26 34 18 16 29 -24 18 13 39 26 14 17 15