I have the following question worked through the first question I am confused when it comes to the second question where estimating the difference is asked My results aligned with the minitab output, but a step by step explanation for the overall question would be appreciated to help in a tutoring esque manner Tensile strength tests were carried out on two different grades of wire rod resulting in the accompanying data Grade Sample Size Sample Mean ( kg mm 2 ) Sample Standard Deviation 1064 31 108 1 3 1078 31 124 1 6 Does the data provide compelling evidence (at 0 05) for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade Show all your work Estimate the difference between true average strengths for the two grades with a 95 confidence interval for the previous problem

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Question: I have the following question worked through the first question. I am confused when it comes to the second question where estimating the difference is

I have the following question worked through the first question. I am confused when it comes to the second question where estimating the difference is asked. My results aligned with the minitab output, but a step by step explanation for the overall question would be appreciated to help in a tutoring-esque manner.

Tensile strength tests were carried out on two different grades of wire rod resulting in the accompanying data:

Grade	Sample Size	Sample Mean (kg/mm²)	Sample Standard Deviation
1064	31	108	1.3
1078	31	124	1.6

Does the data provide compelling evidence (at=0.05) for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade? Show all your work.

Estimate the difference between true average strengths for the two grades with a 95% confidence interval for the previous problem.

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