(See Section 9.1.) Tensile strength tests were carried out on two different grad

Question

(See Section 9.1.) Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Sample Size (kg/mm2 SD m = 127 x= 101.7 S1 = 1.3 y = 125.6 Sample Mean Sample Grade AISI 1064 AISI 1078 n = 127 s2 = 2.1 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm? Test the appropriate hypotheses using a significance level of 0.01. State the relevant hypotheses. Hg: 1064-A078 =-10 Hai 1064-Ag078 >-10 Hai 1064-1078 2-10 Ho: 1064-1078 =-10 Ha: 1064-4078

Explanation / Answer

a) Option C gives the exact hypothesis

b)

Given Data

p-value = 0.000

Conclusion : Reject H0, Option (A)

b)

b)

Given Data

AISI 1064 AISI 1078 Name mean 101.7 125.6 Sample size 127 127 Std. dev. 1.30 2.10

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