21. Three different models of a fire detector were subjected to 20 different (and independent) tests o simulate varying fires. The mcan reaction times of each model in seconds were 32.05, 32.65, 38.95, ospectively. The sample covariance matrix was 2.26 2.18 1.63 S = 2.18 2.66 1.82 1.63 1.82 2.47 • a. Does there appear to be any significant differences between the detection capabilities of the three devices? • b. Build a 99% confidence region for the reaction times of the three types of fire detectors.

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