IP Do H x Operations Managemen C fi https StudentPlayer Home

IP Do H x Operations Managemen C fi https:// /Student/Player Homework.aspx?homeworkld 32999736788 que 1&flushed; false&Cld; 3387728&back; DoAssignments.aspx%3 Q O N4 *b DT G www.mathxl.com Cengage P myoMLab Other bookmarks My OMLabs william henkel 9/24/15 2:34 PM Homework: Chapter 5 homework (Quality Overview Problem 5.19 Exercise Score: 0 of 40 pts Assignment Score: 0% (0 of 100 pts) 0 of 3 complete Janice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than 30 minutes beyond th scheduled appointrments. She asked her assistant to take random samples of 70 patients to see how many in each sample had to wait mor than 30 minutes. Each instance is considered a defect in the clinic process. The table below contains the data for 15 samples Number of Number of Number of Sample Defects Sample Defects Sample Defects a. Assuming Janice Sanders is willing to use three-sigma control limits, construct the upper and lower control limits. The UCLp qual d the LCLp qual L. (Enter your responses rounded to four decimal places. lf your answer for LCL is negative, enter this value as 0.) Enter your answer in the edit fields, then click Check Answer 2 parts remaining Clear All Check Answer Save ES 2:34 PM 9/24/2015

Solution

Standard deviation = (( (3-4.2)^2 + (6-4.2)^2 +(5-4.2)^2 +(2-4.2)^2 +(5-4.2)^2 +(4-4.2)^2 +(6-4.2)^2 +(5-4.2)^2 +(8-4.2)^2 +(2-4.2)^2 +(3-4.2)^2 +(2-4.2)^2 +(2-4.2)^2 +(3-4.2)^2 +(7-4.2)^2 )/15)^(1/2)

Standard deviation = 1.90

UCL_p = Mean + 3*SD = 4.2+3*1.9 = 9.9

LCL_p = Mean – 3*SD = 4.2 – 3*1.9 = -1.5 or 0

Sample	No. of Defects
1	3
2	6
3	5
4	2
5	5
6	4
7	6
8	5
9	8
10	2
11	3
12	2
13	2
14	3
15	7
Average Defects =	4.2