Table 15-2
Given the sample results (100 units in each sample):

-Based on Table 15-2, find the 95.5% lower limit of the appropriate p-chart.
A)0.0076
B)0.0964
C)0.2014
D)0.1397

Question

Table 15-2
Given the sample results (100 units in each sample):
 
-Based on Table 15-2, find the 95.5% lower limit of the appropriate p-chart.
A)0.0076 
B)0.0964 
C)0.2014 
D)0.1397

Quizplus · Accepted Answer

Using Table 15-2, with a sample size of 100 units, and a confidence level of 95.5%, we find the corresponding value of A2 to be 0.023 (closest value to 0.955 in the table). 
Then, the lower control limit for the p-chart is given by:
LCLp = p̅ - (A2 × √(p̅(1-p̅))/n)
We are not given the value of p̅, so we assume worst-case scenario where p̅ = 0.5 (maximum variance).
Thus, LCLp = 0.5 - (0.023 × √(0.5(1-0.5))/100) = 0.0076
Therefore, the 95.5% lower limit of the appropriate p-chart is 0.0076, which is option A.

Table 15-2 Given the Sample Results (100 Units in Each Sample)