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.