For the sample data given in worksheet $2\mathrm{.}5$

a$.$ Check the data for normality.

b$.$ Use MINITAB to test the hypotheses $H_0$:$=200$ versus $H_A$:$200$ at $=0\mathrm{.}05.$ Is there sufficient evidence to reject $H_0?$

c$.$ Confirm the confidence interval for the mean by manual calculation.

d$.$ Confirm the hypothesis test's $t$ statistic by manual calculation and compare it to the critical $t_{0\mathrm{.}025}$ value for the test.

$\backslash$table$[[,$C$1],[,$Volts$],[1,86\mathrm{.}4],[2,86\mathrm{.}5],[3,86\mathrm{.}5],[4,83\mathrm{.}8],[5,88\mathrm{.}3],[6,87\mathrm{.}0],[7,85\mathrm{.}3],[8,83\mathrm{.}4],[9,85\mathrm{.}8],[10,85\mathrm{.}3],[11,88\mathrm{.}9],[12,85\mathrm{.}8],[13,86\mathrm{.}8],[14,83\mathrm{.}7],[15,85\mathrm{.}2],[16,86\mathrm{.}8],[17,86\mathrm{.}7],[18,86\mathrm{.}6],[19,84\mathrm{.}6],[20,87\mathrm{.}8],[21,84\mathrm{.}0],[22,85\mathrm{.}1],[23,84\mathrm{.}2],[24,85\mathrm{.}2],[25,87\mathrm{.}1],[26,]]$