a. In each of the following independent problems, design an unbiased random sampling plan, using an electronic spreadsheet or a random number generator program. The plan should include defining the sampling unit and establishing a numbering system for the population. After the plan has been designed, select the sample using the computer. Assume that the sample size is 75 for each of (1) through (4).
(1) Prenumbered sales invoices in a sales journal where the lowest invoice number is 1 and the highest is 8274.
(2) Prenumbered bills of lading where the lowest document number is 18221 and the highest is 29427.
(3) Accounts receivable on 20 pages with 50 lines per page except the last page, which has only 29 full lines. Each line has a customer name and an amount receivable.
(4) Prenumbered invoices in a sales journal where each month starts over with number 1. (Invoices for each month are designated by the month and document number.) There is a maximum of 25 pages per month with a total of 215 pages for the year. All pages have 100 invoices except for the last page for each month.
b. Using systematic sampling, select the first five sample items for populations (1) through (3) from part a, using the random starting points shown. Recall that the sample size is 75 in each case.
(1) Invoice #39
(2) Bill of lading #18259
(3) Page 1, line #11