PLEASE SHOW$/$EXPLAIN EVERY STEP

A materials engineer is working in a research project to evaluate the effect of one type of admixture on the compressive strength of concrete. The material engineer tested $10$ concrete cylinders made

without admixture and $10$ concrete cylinders with admixture after $28$ days of curing. The compressive strengths of the concrete cylinders are presented in the table shown below:

Using the statistical t$-$test, does this admixture show an increase of the compressive strength of the cement mortar at a level of significance of $0\mathrm{.}05?$