Question

Construct a p-chart, given day defected tested

day Defected Tested
1 52 107
2 54 117
3 35 97
4 33 123
5 33 145
The standard deviation is

Answer 1

To construct a p-chart, you need the number of defective items and the total number of items inspected over a specific timeframe.

Step-by-step explanation:

To construct a p-chart, you need the number of defective items and the total number of items inspected over a specific timeframe. In this case, we have the following data:

Day: Defects / Tested

1: 52 / 1072

2: 54 / 1173

3: 35 / 974

4: 33 / 1235

5: 33 / 145

To calculate the p-chart, you first need to calculate the average proportion of defects, which is the sum of defects divided by the sum of tested items. Then, calculate the standard deviation of the proportion using the formula: sqrt((p * (1 - p)) / n), where p is the average proportion and n is the number of tested items. Finally, plot the average proportion and control limits on a chart.

For example, let's calculate the p-chart for day 1:

Average Proportion: 52 / 1072 = 0.04851

Standard Deviation: sqrt((0.04851 * (1 - 0.04851)) / 1072) = 0.000876