(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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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
Percentage of Invoices
2
3
More Than 3
87%
6%
4%
2%
1%
After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution:
Errors per Invoice
Number of Invoices
1
2
3
More Than 3
473
10
4
4
pi
Ei
fi
(f - E)
A 2/E
0.87
435
473
3.3195
0.06
30
10
13.3333
0.04
20
9
6.0500
0.02
10
4
3.6000
0.01
4
. 2000
Chi-Square
26.50280
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 Percentage of Invoices 2 3 More Than 3 87% 6% 4% 2% 1% After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: Errors per Invoice Number of Invoices 1 2 3 More Than 3 473 10 4 4 pi Ei fi (f - E) A 2/E 0.87 435 473 3.3195 0.06 30 10 13.3333 0.04 20 9 6.0500 0.02 10 4 3.6000 0.01 4 . 2000 Chi-Square 26.50280 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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