Process time at a workstation is monitored using sample mean and range control charts. Six samples of n = 15 observations have been obtained and the sample means and ranges computed (in minutes): Sample Mean Range1 3.16 0.492 3.12 0.433 3.19 0.504 3.05 0.485 3.14 0.516 3.29 0.55a. Using the factors in Table 10-3, determine the upper and lower limits for sample mean and range control charts. (Round the intermediate calculations to 2 decimal places. Round the final mean answers to 2 decimal places. Round the final range answers to 3 decimal places.)

Data was collected from a process under statistical control for developing R-Chart.  The collected data is presented in Table 1 below:Table 1: Mass of containersSubgroup  Mass of containers (gm)Container 1 Container 2 Container 3 Container 41 601 599 603 6012 602 600 598 6003 599 597 601 5994 601 596 600 5995 599 600 598 602The control chart factors are given in the table below:REQUIRED:Determine the value of Upper Control Limit (UCL) (in gm) for the R-Chart.

An analyst has timed a metal-cutting task for 50 cycles. The average time per cycle was 10.5 minutes, and the standard deviation was 1.15 minutes for a worker with a performance rating of 122 percent. Assume an allowance of 14 percent of task time. Calculate the standard time for this task. (Do not round intermediate calculations. Round the final answer to 2 decimal places.)

A task was timed for 60 cycles. It took an average of 1.32 minutes per cycle. The performance rating was 100 percent, and workday allowance is 6 percent. Determine each of the following. (Do not round intermediate calculations. Round the final answers to 2 decimal places.)        a.  Observed time minutes   b.  Normal time minutes   c.  Standard time minut

The mean length of a certain part from a manufacturing process is 12 mm and the standard deviation is 0.03 mm. The lower specification limit is 11.99 mm and the upper specification limit is 12.03 mm.REQUIRED:Determine the value of the Process Capability Ratio.

A random sample of 15 subjects was asked to perform a given task. The time in seconds it took each of them to complete the task is recorded below.37, 33, 28, 29, 37, 50, 28, 45, 49, 30, 39, 27, 40, 48, 26Send data to calculatorIf we assume that the completion times are normally distributed, find a 95% confidence interval for the true mean completion time for this task. Give the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)Lower limit: Upper limit: