As an example of a situation in which several different statistics could reasonably be used to calculate a point estimate, consider a population of N invoices. Associated with each invoice is its "book value, the recorded amount of that invoice. Let 7 denote the total book value, a known amount. Some of these book values are erroneous. An audit will be carried out by randomly selecting involo determining the audited (correct) value for each one. Suppose that the sample gives the following results (in dollars). Invoice Let Book value Audited value Error -sample mean book value X-sample mean audited value D sample mean error NX ON- Ox Propose a statistic for estimating the total audited (e. correct) value involving Just N and X. ON 288 709 527 207 147 288 508 527 207 165 0 201 00 -18 T-NO OT-N/O OT NO Propose a statistic for estimating the total audited (e, correct) value involving T, N, and D. OTNO Propose a statistic for estimating the total audited (e. correct) value involving and X/. T-R/P 01-T-X/Y OT+R/P OT-X/P of N-5000 and T-1,761,700, calculate the corresponding point estimates. (Round your answers to the nearest whole number) based on just N and X s based on T, N, and D based on Tand RIP $ $1

MATLAB: An Introduction with Applications
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As an example of a situation in which several different statistics could reasonably be used to calculate a point estimate, consider a population of N invoices. Associated with each invoice is its "book value," the recorded amount of that invoice. Let T denote the total book value, a known amount. Some of these book values are erroneous. An audit will be carried out by randomly selecting n invoices and
determining the audited (correct) value for each one. Suppose that the sample gives the following results (in dollars).
Let
Book value
Audited value
Error
Invoice
1
2
3
4 5
288 709 527 207 147
288 508 527 207 165
0
201 0 0 -18
Y = sample mean book value
X = sample mean audited value
D = sample mean error
Propose a statistic for estimating the total audited (i.e., correct) value involving just N and X.
XI
N
NX
Propose a statistic for estimating the total audited (i.e., correct) value involving T, N, and D.
O TND
ⒸT - ND
OT.N/D
OT+ND
Propose a statistic for estimating the total audited (i.e., correct) value involving T and X / Y.
ⒸT.X/Y
01-T-X/Y
OT+X/Y
OT-X/Y
If N = 5000 and T = 1,761,700, calculate the corresponding point estimates. (Round your answers to the nearest whole number.)
based on just N and X $
based on T, N, and D
$
based on T and X/Y
$
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Transcribed Image Text:As an example of a situation in which several different statistics could reasonably be used to calculate a point estimate, consider a population of N invoices. Associated with each invoice is its "book value," the recorded amount of that invoice. Let T denote the total book value, a known amount. Some of these book values are erroneous. An audit will be carried out by randomly selecting n invoices and determining the audited (correct) value for each one. Suppose that the sample gives the following results (in dollars). Let Book value Audited value Error Invoice 1 2 3 4 5 288 709 527 207 147 288 508 527 207 165 0 201 0 0 -18 Y = sample mean book value X = sample mean audited value D = sample mean error Propose a statistic for estimating the total audited (i.e., correct) value involving just N and X. XI N NX Propose a statistic for estimating the total audited (i.e., correct) value involving T, N, and D. O TND ⒸT - ND OT.N/D OT+ND Propose a statistic for estimating the total audited (i.e., correct) value involving T and X / Y. ⒸT.X/Y 01-T-X/Y OT+X/Y OT-X/Y If N = 5000 and T = 1,761,700, calculate the corresponding point estimates. (Round your answers to the nearest whole number.) based on just N and X $ based on T, N, and D $ based on T and X/Y $ Need Help? Read It
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