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$1$ The defect rate for data entry of insurance claims has historically been about $1\mathrm{.}5\%.$ What are the upper and lower control chart limits if you wish to use a sample size of $100$ and $3-$sigma limits$?$

$\frac{?}{\text{b}\text{a}\text{r}}(p)=\frac{\text{T}\text{o}\text{t}\text{a}\text{l}\text{N}\text{u}\text{m}\text{b}\text{e}\text{r}of\text{D}\text{e}\text{f}\text{e}\text{c}\text{t}\text{i}\text{v}\text{e}\text{s}}{\text{T}\text{o}\text{t}\text{a}\text{l}\text{N}\text{u}\text{m}\text{b}\text{e}\text{r}\text{I}\text{n}\text{s}\text{p}\text{e}\text{c}\text{t}\text{e}\text{d}}$