Asked by I'marii Willss on Apr 25, 2024
Verified
A woodworker is concerned about the quality of the finished appearance of her work. In sampling units of a split-willow hand-woven basket, she has found the following number of finish defects in ten units sampled: 4, 0, 3, 1, 2, 0, 1, 2, 0, 2.
a. Calculate the average number of defects per basket
b. If 3-sigma control limits are used, calculate the lower control limit, centerline, and upper control limit.
Sigma Control Limits
Statistical boundaries in process control that indicate the allowable range of variation for a process to remain in control, typically set at plus or minus three sigma from the process mean.
Finish Defects
Imperfections or flaws that appear on the surface of products during or after the manufacturing process, affecting the product's aesthetics or functionality.
Lower Control Limit
A statistic used in process control charts to signify the lower threshold below which a process is considered to be out of control.
- Manage and articulate the determination of process capabilities and control limits in diverse control chart kinds (e.g., X-bar, R-chart, p-chart, and c-chart).
- Adopt the rules of 3-sigma for the evaluation and establishment of process control.
- Calculate standard deviation and mean for samples and overall processes.
Verified Answer
SS
Learning Objectives
- Manage and articulate the determination of process capabilities and control limits in diverse control chart kinds (e.g., X-bar, R-chart, p-chart, and c-chart).
- Adopt the rules of 3-sigma for the evaluation and establishment of process control.
- Calculate standard deviation and mean for samples and overall processes.