10.50 Two different machines, A and B, used for torsion tests of steel wire were tested on 12 pairs of different types of wire, with one member of each pair tested on each machine. The results (break angle measurements) were as follows:

a Is there evidence at the 5% significance level to suggest that machines A and B give different average readings?
b Is there evidence at the 5% significance level to suggest that machine B gives a lower average reading than machine A?

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Wire Type 1 2 3 4 5 6 7 8 9 10 11 12 40 42 36 29 33 37 22 42 Machine A 32 35 38 28 Machine B 30 34 39 26 37 42 35 30 30 32 20 41