d$)$ You are looking back at some old records from when a previous machine and sampling process were in use. A cable was tested $12$ times and found to have an average Young's Modulus of $200$ GPa, and a sample standard deviation of $1\mathrm{.}27$ GPa $.$ Later on$,$ after the change of machine and sampling process, another cable of the same spec was measured $15$ times and had an average Young's Modulus of $199\mathrm{.}7$ GPa, and a sample standard deviation of $1\mathrm{.}7$ GPa $.$ Is the technician correct that there is not a significant difference in stiffness between the two cables?