Please show the full solution details for Part A to Part D:

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below:

$83\mathrm{.}401,83\mathrm{.}400,83\mathrm{.}402,83\mathrm{.}406,83\mathrm{.}401,83\mathrm{.}396,83\mathrm{.}401,83\mathrm{.}405,$ and $83\mathrm{.}404$

Part A $-$ Determine the range within which the observations should fall $90\%$ of the time: $($Express your answers, separated by a comma, to six significant figures.$)$

Part B $-$ What percentage of values fall within this range?

$($Express your answer to three significant figures.$)$

Part C $-$ Determine the range within which the observations should fall $95\%$ of the time: $($Express your answers, separated by a comma, to six significant figures.$)$

Part D $-$ What percentage of values fall within this range?

$($press your answer to three significant figures.$)$