Question $19$ A manufacturing process has acceptance limits $100\backslash$pm $3.$ A recent sample produced the measurements in file DATA. Assuming normal distribution, what percentage of the population does not meet the acceptance limits$?$ Below is the column from excel, followed by possible answers.

$100\mathrm{.}896$

$100\mathrm{.}722$

$101\mathrm{.}110$

$100\mathrm{.}319$

$99\mathrm{.}266$

$101\mathrm{.}104$

$99\mathrm{.}769$

$99\mathrm{.}228$

$98\mathrm{.}805$

$99\mathrm{.}568$

$99\mathrm{.}339$

$99\mathrm{.}585$

$101\mathrm{.}680$

$99\mathrm{.}903$

$99\mathrm{.}604$

$100\mathrm{.}550$

$98\mathrm{.}260$

$100\mathrm{.}078$

$98\mathrm{.}515$

$98\mathrm{.}010$

$101\mathrm{.}011$

$98\mathrm{.}809$

$98\mathrm{.}522$

$100\mathrm{.}177$

$101\mathrm{.}138$

$100\mathrm{.}055$

$99\mathrm{.}566$

$100\mathrm{.}500$

$100\mathrm{.}159$

$100\mathrm{.}835$

$100\mathrm{.}075$

$99\mathrm{.}347$

$101\mathrm{.}199$

$99\mathrm{.}749$

$99\mathrm{.}327$

$98\mathrm{.}384$

$101\mathrm{.}632$

$101\mathrm{.}176$

$99\mathrm{.}874$

$99\mathrm{.}879$

$98\mathrm{.}219$

$101\mathrm{.}103$

$100\mathrm{.}066$

$100\mathrm{.}399$

$102\mathrm{.}906$

$100\mathrm{.}808$

$98\mathrm{.}304$

$99\mathrm{.}527$

$98\mathrm{.}534$

$99\mathrm{.}898$

Question $19$ options:

$0\mathrm{.}46\%$

None of the answers match my calculation.

$0\mathrm{.}81\%$

$0\mathrm{.}67\%$

$0\mathrm{.}14\%$