Task $2$: The following table and histogram show the weight observations of a sample of $30$ concrete slabs. The weight specification limits for slabs are $79$kg $($LSL$)$ and $81$kg $($USL$).$

$79\mathrm{.}280\mathrm{.}579\mathrm{.}678\mathrm{.}980\mathrm{.}5$

$78\mathrm{.}878\mathrm{.}779\mathrm{.}679\mathrm{.}479\mathrm{.}6$

$80\mathrm{.}978\mathrm{.}980\mathrm{.}979\mathrm{.}479\mathrm{.}6$

$79\mathrm{.}779\mathrm{.}678\mathrm{.}779\mathrm{.}479\mathrm{.}4$

$80\mathrm{.}679\mathrm{.}679\mathrm{.}680\mathrm{.}380\mathrm{.}4$

$80\mathrm{.}679\mathrm{.}680\mathrm{.}579\mathrm{.}679\mathrm{.}4$

a$)$ Based on a visual analysis of the histogram, would you conclude that the production process capable? Why $($not$)?$

b$)$ Find the Cpk$.$ Is the production process capable? Why $($not$)?$

$[6$ Marks$]$