Question

The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.72. Sample size is given to be 5. Determine the 3-sigma x-chart control limits.

Answer 1

To determine the 3-sigma x-chart control limits, use the formula: UCL = overall average + (3 * (population standard deviation / √sample size)). LCL = overall average - (3 * (population standard deviation / √sample size)). Plugging in the given values, UCL ≈ 52.52 and LCL ≈ 47.48.

Step-by-step explanation:

To determine the 3-sigma x-chart control limits, we need to use the formula:

Upper Control Limit (UCL) = overall average + (3 * (population standard deviation / √sample size))

Lower Control Limit (LCL) = overall average - (3 * (population standard deviation / √sample size))

Plugging in the given values, we have:

UCL = 50.0 + (3 * (1.72 / √5))

LCL = 50.0 - (3 * (1.72 / √5))

Simplifying the expressions gives:

UCL ≈ 52.52

LCL ≈ 47.48

Therefore, the 3-sigma x-chart control limits are approximately 47.48 and 52.52.