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 1 2 3 More Than 3 Percentage of Invoices 84% 7% 4% 3% 2% After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: Errors per Invoice Number of Invoices More Than 3 480 7 8 2 3 pi Ei fi (f - E) ^ 2/E 8.5714 22.4000 7.2000 11.2667 0.84 420 480 0.07 35 7 0.04 20 8 0.03 15 2. 0.02 10 3 4.9000 Chi-Square 54.33810 p-value 0.0000001096 (a) Show that it is appropriate to carry out a chi-square test using these data. Each expected value is 2

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ch 15 end. 3: 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:

 

 

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
1
2
3
More Than 3
Percentage of Invoices
84%
7%
4%
3%
2%
After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution:
Errors per Invoice
Number of Invoices
More Than 3
480
7
8
2
3
pi
Ei
fi
(f - E) ^ 2/E
8.5714
22.4000
7.2000
11.2667
0.84
420
480
0.07
35
7
0.04
20
8
0.03
15
2.
0.02
10
3
4.9000
Chi-Square
54.33810
p-value 0.0000001096
(a) Show that it is appropriate to carry out a chi-square test using these data.
Each expected value is 2
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 1 2 3 More Than 3 Percentage of Invoices 84% 7% 4% 3% 2% After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: Errors per Invoice Number of Invoices More Than 3 480 7 8 2 3 pi Ei fi (f - E) ^ 2/E 8.5714 22.4000 7.2000 11.2667 0.84 420 480 0.07 35 7 0.04 20 8 0.03 15 2. 0.02 10 3 4.9000 Chi-Square 54.33810 p-value 0.0000001096 (a) Show that it is appropriate to carry out a chi-square test using these data. Each expected value is 2
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