The following values were listed for the yields of head corn in pounds per acre. These values resulted from using regular seeds$\mathrm{.}19031935191024962018196120601444161213161511($a$)$ Calculate and construct the $95\%$ confidence interval of the mean for Z distribution. $(30)($b$)$ Using one sample Z test to test the hypothesis H$0$: $=1250$ in pounds per acre, a $=0\mathrm{.}05.(30)($c$)$ R codes to test data normality, a $=0\mathrm{.}05.(5)($d$)$ R codes to draw box plot using the data. $(10)($e$)$ R codes for one sample Z test to test the hypothesis H$0$: $=1250$ in pounds per acre, a $=0\mathrm{.}05.(10)$