sed. The distribution of the number of errors per invoice for the manual system is as follows: Errors per Invoice 1 2 More Than 3 1% Percentage of Invoices 9% 4% Errors per Invoice Number of Invoices fter implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: More Than 3 3 pi 0.85 0.09 0.04 0.01 0.01 Ei 425 45 20 5 5 Chi-Square fi 472 11 9 5 3 85% 0 472 Each expected value is 2 11 9 (f - E)^2/E 5.1976 25.6889 6.0500 .0000 .8000 37.73658 3 1% 3 5 _p-value 0.0000001096 a) Show that it is appropriate to carry out a chi-square test using these data.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A wholesaler has recently developed a computerized sales invoicing system. Prior to implementing this system, a manual system was
used. The distribution of the number of errors per invoice for the manual system is as follows:
Errors per Invoice
Percentage of Invoices
Errors per Invoice
Number of Invoices
pi
0.85
0.09
0.04
0.01
0.01
Ei
425
After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution:
More Than 3
3
45
20
5
5
Chi-Square
Each expected value is
fi
472
11
5
3
Do not reject
Reject
0
85%
8
472
1
11
1
9%
(f E)^2/E
5.1976
25.6889
6.0500
.0000
.8800
37.73650
2
9
2
4%
3
1%
3
5
More Than 3
1%
(a) Show that it is appropriate to carry out a chi-square test using these data.
HO. Conclude systems
p-value 0.0000001096
(b) Use the Excel output shown above to determine whether the error percentages for the computerized system differ from those for
the manual system at the .05 level of significance. What do you conclude?
different.
Transcribed Image Text:A wholesaler has recently developed a computerized sales invoicing system. Prior to implementing this system, a manual system was used. The distribution of the number of errors per invoice for the manual system is as follows: Errors per Invoice Percentage of Invoices Errors per Invoice Number of Invoices pi 0.85 0.09 0.04 0.01 0.01 Ei 425 After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: More Than 3 3 45 20 5 5 Chi-Square Each expected value is fi 472 11 5 3 Do not reject Reject 0 85% 8 472 1 11 1 9% (f E)^2/E 5.1976 25.6889 6.0500 .0000 .8800 37.73650 2 9 2 4% 3 1% 3 5 More Than 3 1% (a) Show that it is appropriate to carry out a chi-square test using these data. HO. Conclude systems p-value 0.0000001096 (b) Use the Excel output shown above to determine whether the error percentages for the computerized system differ from those for the manual system at the .05 level of significance. What do you conclude? different.
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