Reconsider Example 10.8 involving an investigation of the effects of different heat treatments on the yield point

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Reconsider Example 10.8 involving an investigation of the effects of different heat treatments on the yield point of steel ingots.
a. If J = 8 and ( = 1, what is β for a level .0 = F test when µ1 = µ2, µ3 = µ1, - 1, and µ4 = µ1 + 1?
b. For the alternative of part (a), what value of J is necessary to obtain β = .05?
c. If there are I = 5 heat treatments, J = 10, and ( = 1, what is β for the level .05 F test when four of the µi's are equal and the fifth differs by 1 from the other four?
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