Question

An experiment is conducted to compare the maximum load capacity in tons​ (the maximum weight that can be tolerated without​ breaking) for two alloys A and B. It is known that the two standard deviations in load capacity are equal at 7 tons each. The experiment is conducted on 30 specimens of each alloy​ (A and​ B) and the results are x overbarAequals65.6​, x overbarBequals60.6​, and x overbarAminusx overbarBequals5. The manufacturers of alloy A are convinced that this evidence shows conclusively that muAgreater thanmuB and strongly supports the claim that their alloy is superior. Manufacturers of alloy B claim that the experiment could easily have given x overbarAminusx overbarBequals5 even if the two population means are equal. Complete parts​ (a) and​ (b) below.

Answer 1

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