Question

Attribute Control Charts Q1. The results of an inspection of DNA samples taken over the past 10 days are given below. Sample size is 100. Day 1 2 3 4 5 6 7 8 9 Defectives 7 6 6 9 5 6 0 8 9 10 1 a) Construct a 3-sigma p-chart using this information. What are the 3 sigma control limits? b) Using the control chart in part (a), and finding that the number of defectives on the next three days are 12, 5, and 13, is the process in control? c) Why or why not? Q2. An ad agency tracks the complaints, by week received, about the billboards in the city. Week No. of Complaints 2 5 3 a) What are the 3-sigma control limits for this process? Assume that the historical complaint rate is unknown. b) is the process in control? c) Why or why not? d) Assume that the historical complaint rate has been four calls per week. What would the 3-sigma control limits for this process be now. Has the process been in control according to these new control limits?

can you please answer all question

Answer 1

1) p chart :- control limits LELE P-s for pochi pa UCL - D & 3 I P (1-P) CaLa P = ē Edi Eni 57 100x10 0.057 Po è = LCL- 0.057- 3 0.057*(1-0.057) J. 1oo - 0.057- 0.0695 so [Ag it comes out to be negative so take as ou it et uc- = 0.057 + 0.0695 0.1265 0.057 C.L= p-chart number g anis consist on x un axis sample pi on plotting while