Show me the steps to solve Table $1$: Resistance Values $($in Ohms$)$ of Resistors from Assembly Line

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No$.$

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Resistance $\backslash \backslash$

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Resistance $\backslash \backslash$

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Resistance $\backslash \backslash$

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Resistance $\backslash \backslash$

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Resistance $\backslash \backslash$

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Resistance $\backslash \backslash$

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$\backslash$hline $1$ & $99\mathrm{.}8$ & $100\mathrm{.}2$ & $100\mathrm{.}5$ & $100\mathrm{.}1$ & $100\mathrm{.}3$ & $99\mathrm{.}9\backslash \backslash$

$\backslash$hline $2$ & $100\mathrm{.}4$ & $100\mathrm{.}2$ & $100\mathrm{.}0$ & $99\mathrm{.}7$ & $100\mathrm{.}3$ & $100\mathrm{.}0\backslash \backslash$

$\backslash$hline $3$ & $99\mathrm{.}9$ & $100\mathrm{.}5$ & $100\mathrm{.}2$ & $100\mathrm{.}4$ & $99\mathrm{.}8$ & $100\mathrm{.}1\backslash \backslash$

$\backslash$hline $4$ & $100\mathrm{.}5$ & $100\mathrm{.}3$ & $100\mathrm{.}1$ & $100\mathrm{.}4$ & $99\mathrm{.}8$ & $100\mathrm{.}3\backslash \backslash$

$\backslash$hline $5$ & $100\mathrm{.}2$ & $100\mathrm{.}1$ & $100\mathrm{.}5$ & $100\mathrm{.}0$ & $100\mathrm{.}1$ & $100\mathrm{.}4\backslash \backslash$

$\backslash$hline $6$ & $100\mathrm{.}3$ & $99\mathrm{.}9$ & $100\mathrm{.}4$ & $100\mathrm{.}0$ & $100\mathrm{.}3$ & $99\mathrm{.}7\backslash \backslash$

$\backslash$hline $7$ & $100\mathrm{.}2$ & $100\mathrm{.}0$ & $100\mathrm{.}0$ & $99\mathrm{.}9$ & $100\mathrm{.}3$ & $100\mathrm{.}0\backslash \backslash$

$\backslash$hline $8$ & $100\mathrm{.}1$ & $100\mathrm{.}4$ & $99\mathrm{.}9$ & $100\mathrm{.}2$ & $100\mathrm{.}4$ & $99\mathrm{.}8\backslash \backslash$

$\backslash$hline $9$ & $99\mathrm{.}7$ & $100\mathrm{.}2$ & $100\mathrm{.}0$ & $100\mathrm{.}1$ & $100\mathrm{.}3$ & $100\mathrm{.}1\backslash \backslash$

$\backslash$hline $10$ & $100\mathrm{.}0$ & $100\mathrm{.}3$ & $99\mathrm{.}8$ & $100\mathrm{.}4$ & $100\mathrm{.}1$ & $99\mathrm{.}9\backslash \backslash$

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a$.$ Construct a histogram using the provided resistance data to show the distribution of values.

b$.$ Compute the mean and standard deviation. Determine the process's inherent capability and explain its significance. c$.$ Using the Upper Specification Limit $($USL$)$ of $101\mathrm{.}0$ ohms and the Lower Specification Limit $($LSL$)$ of $99\mathrm{.}0$ ohms, compute the process capability indices $($Cp and Cpk$).$ Interpret the process capability.

d$.$ Prepare recommendations to ensure consistent production within the specified limits$.$