Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Sample Sample Mean Sample Grade Size (kg/mm) SD AISI 1064 m = 127 x = 102.3 51 = 1.1 AISI 1078 n = 127 y = 126.5 52 = 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. O Ho: H1064 - H1078 = -10 Ha: H1064 - H1078 -10 O Ho: H1064 - H1078 = -10 Ha: H1064 - H1078 * -10 O Ho: H1064 - H1078 = -10 Ha: H1064 - H1078 2 -10 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not suggest that the true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2. O Reject Ho. The data does not suggest that the true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2. O Reject Ho. The data suggests that the true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2. O Fail to reject Ho. The data suggests that the true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2. (b) Estimate the difference between true average strengths for the two grades in a way that provides information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.) kg/mm2