Analysis

$1.$ Please answer the following questions based on the results:

$($a$).$ If the effects of cold$-$rolling on the tested hardness values are consistent with the materials theories on cold working?

$($b$).$ If your answer to question $($a$)$ is "Yes", what are the possible mechanisms, from the viewpoint of materials structures?

$($c$).$ If your answer to question $($a$)$ is $"$No$",$ please explain what might be responsible for the differences between materials theories on cold$-$working and actual experimental results $($Please review Lab $\backslash$#$1$ to help you with this question$)$