Question
17-28 (Objective 17-3) The accounts receivable population for Jakes Bookbinding Company follows, and it is also available in electronic form on the textbook website. This
17-28 (Objective 17-3) The accounts receivable population for Jakes Bookbinding Company follows, and it is also available in electronic form on the textbook website. This table is the same as Table 17-1 on page 578, except that cumulative amounts are included to assist you in completing the problem. The population is smaller than is ordinarily the case for statistical sampling, but an entire population is useful to show how to select PPS samples.
Required
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Select a random PPS sample of 10 items, using computer software.
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Select a sample of 10 items using systematic PPS sampling. Use a starting point of 1857. Identify the physical units associated with the sample dollars.
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Which sample items will always be included in the systematic PPS sample regardless of the starting point? Will that also be true of random PPS sampling?
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Which method is preferable in terms of ease of selection in this case?
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Why will an auditor use MUS?
Population Item | Recorded Amount | Cumulative Amount | Population Item (cont.) | Recorded Amount (cont.) | Cumulative Amount (cont.) |
---|---|---|---|---|---|
1 | $ 1,410 | $ 1,410 | 21 | $ 4,865 | $117,385 |
2 | 9,130 | 10,540 | 22 | 770 | 118,155 |
3 | 660 | 11,200 | 23 | 2,305 | 120,460 |
4 | 3,355 | 14,555 | 24 | 2,665 | 123,125 |
5 | 5,725 | 20,280 | 25 | 1,000 | 124,125 |
6 | 8,210 | 28,490 | 26 | 6,225 | 130,350 |
7 | 580 | 29,070 | 27 | 3,675 | 134,025 |
8 | 44,110 | 73,180 | 28 | 6,250 | 140,275 |
9 | 825 | 74,005 | 29 | 1,890 | 142,165 |
10 | 1,155 | 75,160 | 30 | 27,705 | 169,870 |
11 | 2,270 | 77,430 | 31 | 935 | 170,805 |
12 | 50 | 77,480 | 32 | 5,595 | 176,400 |
13 | 5,785 | 83,265 | 33 | 930 | 177,330 |
14 | 940 | 84,205 | 34 | 4,045 | 181,375 |
15 | 1,820 | 86,025 | 35 | 9,480 | 190,855 |
16 | 3,380 | 89,405 | 36 | 360 | 191,215 |
17 | 530 | 89,935 | 37 | 1,145 | 192,360 |
18 | 955 | 90,890 | 38 | 6,400 | 198,760 |
19 | 4,490 | 95,380 | 39 | 100 | 198,860 |
20 | 17,140 | 112,520 | 40 | 8,435 | 207,295
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Using the population and data in 17-28 complete the following audit steps: Audit Step 1 2 Select a random PPS sample of 10 items from the population presented in 17-28 using the RANDBETWEEN function in Excel. Calculate the interval for a systematic PPS sample. Select a sample of 10 items using systematic PPS sampling. Use a starting point of 1857. Identify the physical units associated with the sample dollars. 3 Item Random $ Population Item # Systematic $ Population Item # 1 2 3 4 5 6 7 8 9 10 Interval calculation
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