$3\mathrm{.}44$ Stratified samples for accounting audits. Accountants use stratified

samples during audits to verify a company's records of such things as accounts

receivable. The stratification is based on the dollar amount of the item and often

includes $100\%$ sampling of the largest items. One company reports $5000$

accounts receivable. Of these, $100$ are in amounts over $$50,000$;$500$ are in

amounts between $$1000$ and $$50,000$; and the remaining $4400$ are in amounts

under $$1000.$ Using these groups as strata, you decide to verify all of the largest

accounts and to sample $5\%$ of the midsize accounts and $1\%$ of the small

accounts. How would you label the two strata from which you will sample? Use

software or Table B$,$ starting at line $125,$ to select the first $6$ accounts from each

of these strata.