Table 5.3

-Four samples of 100 each were taken from an assembly line,with the following results: Using the historical average as the central line of the chart,which one of the following is the limit for an attributes control chart with z = 2?

Question

Table 5.3 -Four samples of 100 each were taken from an assembly line,with the following results: Using the historical average as the central line of the chart,which one of the following is the limit for an attributes control chart with z = 2? A)UCL > 0.1 and LCL > 0.03 B)UCL > 0.1 and LCL < 0.03 C)UCL < 0.1 and LCL > 0.03 D)UCL < 0.1 and LCL < 0.03

Quizplus · Accepted Answer

To calculate the control limits for an attributes control chart with z = 2:
UCL = p̅ + (z * √(p̅(1-p̅)/n))
LCL = p̅ - (z * √(p̅(1-p̅)/n))
Where:
p̅ is the historical average, which is not given in the question but assumed to be calculated by the reader
n = 100 (sample size)
z = 2 (from the question)

Since the historical average is used as the central line of the chart, we only need to calculate the UCL and LCL. Based on the equation above and the given options, option B is the correct answer because it satisfies the conditions UCL > 0.1 and LCL < 0.03.

Table 5.3 -Four Samples of 100 Each Were Taken from an Assembly