Answer :
Final answer:
The question pertains to setting upper and lower control limits in a control chart for monitoring average weights. It is a college-level mathematics question concerning quality control. option c is correct.
Explanation:
The student's question is related to the subject of control charts in quality control, which is a part of statistics within the broader field of mathematics. In the context of monitoring the average weights of balls, the upper and lower control limits represent the thresholds that determine if the process is in control or if there is a variation that requires attention. These limits are typically set at a certain number of standard deviations away from the process mean.
The correct choice depends on the process parameters, such as the mean and standard deviation of the weights, and the control chart rules in place. Without additional information about the distribution of the ball weights, it's not possible to determine which set of limits is appropriate (10.4, 10.1; 10.1, 9.6; 10.4, 9.6; or 10.1, 10.1). Typically, control limits would not be identical, as there should be some range of acceptable variation, suggesting that option d) 10.1, 10.1 is likely incorrect, as it indicates no variation is acceptable.
