Expected Population Deviation Tolerable Deviation Rate Rate (as Percentages) 2% 3% 4% 5% 6% 7% 8% 9% 10% 15% 20% 0.00% 149(0) 99(0) 74(0) 59(0) 49(0) 42(0) 36(0) 32(0) 29(0) 19(0) 14(0) 0.25 236 (1) 157(1) 117(1) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22(1) 0.50 * 157(1) 117(1) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22(1) * 0.75 208(2) 117(1) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22(1) 1.00 * * 156(2) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30(1) 22(1) 1.25 * * 156(2) 124(2) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22 (1) 1.50 * * 192(3) 124(2) 103(2) 66(1) 58(1) 51(1) 46(1) 30(1) 22(1) 1.75 * * 227(4) 153(3) 103(2) 88(2) 77(2) 51(1) 46(1) 30(1) |22(1) 2.00 * * * 181(4) 127(3) 88(2) 77(2) 68(2) 46(1) 30 (1) 22 (1) 2.25 * * * 208(5) 127(3) 88(2) 77(2) 68(2) 61(2) 30 (1) 22 (1) 2.50 * * * * 150(4) 109(3) 77(2) 68(2) 61(2) 30 (1) 22(1) 2.75 * * * * 173(5) 109(3) 95(3) 68(2) 61(2) 30(1) 22(1) * * * * 3.00 195(6) 129(4) 95(3) 84(3) 61(2) 30 (1) 22(1) * * * * * 3.25 148(5) |112(4) 84(3) 61(2) 30 (1) 22 (1) * * 3.50 167(6) 112(4) 84(3) 76(3) 40(2) 22(1) * * * * * 3.75 185(7) 129(5) 100(4) 76(3) 40(2) 22(1) 4.00 5.00 6.00 * * * * * * 146(6) 100(4) 89(4) 40(2) 22(1) * * * * * * * 158(8) 116(6) 40(2) 30(2) * * * * * * 179(11) 50(3) 30(2) * * * * * * * * 7.00 * 68(5) 37(3)

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter8: Time Series Analysis And_forecasting
Section: Chapter Questions
Problem 22P: Consider the following time series: a. Construct a time series plot. What type of pattern exists in...
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You have been asked to test the effectiveness of Ingo Corporation’s control of manually approving all purchases over $25,000. During the year, Ingo Corporation has made 1,000,000 purchases, of which 3,000 were over $25,000. Jian Zhang, CPA, your supervisor, asked you to use a tolerable deviation rate of 4 percent (although she expects the rate to be only approximately 0.50 percent) and a 5 percent risk of assessing control risk too low. Use the following to determine the planned assessed level of control risk and the assessed level of control risk.

 

(Planned) Assessed Level of Control Risk Tolerable Deviation Rate
Low 2−7%
Moderate 6−12%
Slightly below the maximum 11−20%
Maximum Over 20%

b. Determine the appropriate sample size and allowable number of deviations using Figure 9.4.

sample size: 

Expected
Population
Deviation
Tolerable Deviation Rate
Rate (as
Percentages) 2%
3%
4%
5%
6%
7%
8%
9%
10%
15%
20%
0.00%
149(0)
99(0) 74(0)
59(0)
49(0)
42(0)
36(0)
32(0)
29(0)
19(0)
14(0)
0.25
236 (1)
157(1)
117(1)
93(1)
78(1)
66(1)
58(1)
51(1)
46(1)
30 (1)
22(1)
0.50
*
157(1) 117(1)
93(1) 78(1)
66(1)
58(1) 51(1)
46(1)
30 (1)
22(1)
*
0.75
208(2) 117(1)
93(1) 78(1)
66(1)
58(1) 51(1)
46(1)
30 (1)
22(1)
1.00
*
*
156(2)
93(1) 78(1)
66(1)
58(1)
51(1)
46(1)
30(1)
22(1)
1.25
*
*
156(2)
124(2)
78(1)
66(1) 58(1)
51(1)
46(1) 30 (1)
22 (1)
1.50
*
*
192(3) 124(2)
103(2)
66(1)
58(1)
51(1)
46(1)
30(1)
22(1)
1.75
*
*
227(4) 153(3) 103(2)
88(2)
77(2)
51(1)
46(1)
30(1)
|22(1)
2.00
*
*
*
181(4) 127(3)
88(2)
77(2) 68(2)
46(1)
30 (1)
22 (1)
2.25
*
*
*
208(5) 127(3)
88(2)
77(2) 68(2)
61(2)
30 (1)
22 (1)
2.50
*
*
*
*
150(4)
109(3)
77(2) 68(2)
61(2)
30 (1)
22(1)
2.75
*
*
*
*
173(5)
109(3)
95(3)
68(2)
61(2)
30(1)
22(1)
*
*
*
*
3.00
195(6)
129(4)
95(3)
84(3)
61(2)
30 (1)
22(1)
*
*
*
*
*
3.25
148(5) |112(4)
84(3)
61(2)
30 (1)
22 (1)
*
*
3.50
167(6) 112(4)
84(3)
76(3)
40(2)
22(1)
*
*
*
*
*
3.75
185(7)
129(5)
100(4)
76(3) 40(2) 22(1)
4.00
5.00
6.00
*
*
*
*
*
*
146(6) 100(4)
89(4) 40(2) 22(1)
*
*
*
*
*
*
*
158(8)
116(6) 40(2) 30(2)
*
*
*
*
*
*
179(11) 50(3) 30(2)
*
*
*
*
*
*
*
*
7.00
*
68(5) 37(3)
Transcribed Image Text:Expected Population Deviation Tolerable Deviation Rate Rate (as Percentages) 2% 3% 4% 5% 6% 7% 8% 9% 10% 15% 20% 0.00% 149(0) 99(0) 74(0) 59(0) 49(0) 42(0) 36(0) 32(0) 29(0) 19(0) 14(0) 0.25 236 (1) 157(1) 117(1) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22(1) 0.50 * 157(1) 117(1) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22(1) * 0.75 208(2) 117(1) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22(1) 1.00 * * 156(2) 93(1) 78(1) 66(1) 58(1) 51(1) 46(1) 30(1) 22(1) 1.25 * * 156(2) 124(2) 78(1) 66(1) 58(1) 51(1) 46(1) 30 (1) 22 (1) 1.50 * * 192(3) 124(2) 103(2) 66(1) 58(1) 51(1) 46(1) 30(1) 22(1) 1.75 * * 227(4) 153(3) 103(2) 88(2) 77(2) 51(1) 46(1) 30(1) |22(1) 2.00 * * * 181(4) 127(3) 88(2) 77(2) 68(2) 46(1) 30 (1) 22 (1) 2.25 * * * 208(5) 127(3) 88(2) 77(2) 68(2) 61(2) 30 (1) 22 (1) 2.50 * * * * 150(4) 109(3) 77(2) 68(2) 61(2) 30 (1) 22(1) 2.75 * * * * 173(5) 109(3) 95(3) 68(2) 61(2) 30(1) 22(1) * * * * 3.00 195(6) 129(4) 95(3) 84(3) 61(2) 30 (1) 22(1) * * * * * 3.25 148(5) |112(4) 84(3) 61(2) 30 (1) 22 (1) * * 3.50 167(6) 112(4) 84(3) 76(3) 40(2) 22(1) * * * * * 3.75 185(7) 129(5) 100(4) 76(3) 40(2) 22(1) 4.00 5.00 6.00 * * * * * * 146(6) 100(4) 89(4) 40(2) 22(1) * * * * * * * 158(8) 116(6) 40(2) 30(2) * * * * * * 179(11) 50(3) 30(2) * * * * * * * * 7.00 * 68(5) 37(3)
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