Question
A company that operates a production line that fills 16 ounce boxes of pasta shells uses a quality assurance process that involves randomly selecting and
- A company that operates a production line that fills 16 ounce boxes of pasta shells uses a quality assurance process that involves randomly selecting and weighing four boxes every hour. The sample data collected during a particular eight-hour shift is as follows:
| Box No. | |||
Hour No. | 1 | 2 | 3 | 4 |
1 | 15.97 | 16.00 | 16.01 | 16.02 |
2 | 16.13 | 16.12 | 16.15 | 16.12 |
3 | 15.98 | 15.92 | 15.95 | 15.96 |
4 | 15.85 | 16.00 | 15.98 | 16.15 |
5 | 15.99 | 15.98 | 16.07 | 16.00 |
6 | 15.97 | 16.10 | 16.04 | 16.02 |
7 | 16.01 | 15.92 | 16.03 | 16.05 |
8 | 16.00 | 15.97 | 16.03 | 15.98 |
- What are the values for the lower and upper controls limit for x-bar using a 99.7% level of confidence?
- Prepare an x-bar chart that reflects upper and lower control limits for x-bar, x-double bar, and x-bar for each hour. Based upon the x-bar chart, for what specific hours was x-bar outside the control limits during the eight-hour period?
- What are the values for the lower and upper controls limit for R using a 99.7% level of confidence?
- Prepare a R chart that reflects the upper and lower control limits for R, R-bar, and R for each hour. Based upon the R chart, for what specific hours was R outside the control limits during the eight-hour period?
- The manager of a local bank perceives that there has been an increase in the incidence of customers complaints regarding excessive waiting times at the drive-thru teller window. The manager surveyed twenty randomly selected drive-thru teller window customers daily for a period of fourteen days. The number of customers who indicated they had experienced excessive waiting times was as follows. Each instance of a customer indicating they had experienced an excessive waiting time constitutes a defect.
Day No. | No. Complaints |
1 | 2 |
2 | 3 |
3 | 7 |
4 | 2 |
5 | 2 |
6 | 8 |
7 | 8 |
8 | 7 |
9 | 8 |
10 | 2 |
11 | 2 |
12 | 6 |
13 | 2 |
14 | 2 |
What are the values for the lower and upper controls limit for the percent defects using a 95.5% level of confidence?
Prepare a p-chart that reflects the upper and lower control limits for p, p-bar, and p for each day. Based upon the p-chart, for what specific days was the percent defective outside the control limits during the fourteen-day period?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started