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# Tensile sirength tests were carried out on tWo different grades of wire rod, resulting Ihe accompanying dataSample Mean Sample (kg/mm?)Sample SizeGradeAISI 1064129X...

## Question

###### Tensile sirength tests were carried out on tWo different grades of wire rod, resulting Ihe accompanying dataSample Mean Sample (kg/mm?)Sample SizeGradeAISI 1064129X= 103.7 S1 - 1.1AISI 1078n=129Y=123.8 52 - 2.2Does the data provide compelling evidence for concluding that true average strength for Ihe 1078 grade exceeds Ihat for the 1064 grade by more than kglmm?? Test the appropriate hypotheses using signillcance level of 0.01_ State the relevant hypothases:Ho; H1cs4 - K1oz8 Ha: [1054 41078 - -1

Tensile sirength tests were carried out on tWo different grades of wire rod, resulting Ihe accompanying data Sample Mean Sample (kg/mm?) Sample Size Grade AISI 1064 129 X= 103.7 S1 - 1.1 AISI 1078 n=129 Y=123.8 52 - 2.2 Does the data provide compelling evidence for concluding that true average strength for Ihe 1078 grade exceeds Ihat for the 1064 grade by more than kglmm?? Test the appropriate hypotheses using signillcance level of 0.01_ State the relevant hypothases: Ho; H1cs4 - K1oz8 Ha: [1054 41078 - -10 Ho' /10e4 - 41o78 -10 Hi' [1054 41078 Ho: [1ce4 41o78 -10 Hi' /1054 01078 -10 Ho: L1ce4 ` 41078 Ha' /1084 41078 Ho: H1c84 - 01078 = H: [1054 41078 Calculale Ihe los statislic and P-value. (Round your test statistic two decimal places and your P-value our decimal places:} Pvalue Slale Ihe concluslon Ine problam conlext;

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