8. Data entry clerks at ARCO key in thousands of insurance records each day. They have just completed a new training program and want to establish a control chart based on the results of this training. Each day random samples of the work of the clerks were collected. The results are shown in the table below. Two hundred records were sampled daily and examined for errors. The number of records with errors was counted.

Day	Number of Records with Errors	Day	Number of Records with Errors
1	14	11	12
2	10	12	14
3	6	13	6
4	8	14	12
5	10	15	10
6	10	16	12
7	8	17	12
8	10	18	13
9	6	19	11
10	4	20	12

a) You want to set control limits for the proportion of records with errors. Assume that the past twenty days performance is adequate for establishing the control limits and performing the analysis. Using 95% control limits, what are the upper and lower control limits for the proportion of records with errors? Calculate your proportion defective and the lower and upper control limits to 3 decimal places (0.xxx). Assume that the data provided is sufficient for performing a statistical analysis.

b) Plot the control chart and the sample values.