The Watson Electric Company produces incandescent light bulbs. The following data on the number of lumens for 40-watt light bulbs were collected when the process was in control. The standard deviation of the process is 15.Calculate control limits for an x-bar chart with 3-sigma limit and draw the chart.Since these data were collected, some new employees were hired. A new sample obtained the following readings: 625, 592, 612, and 650. Is the process still in control? ### Data Table OverviewThe table displays data collected from five samples, each having four observations. It is organized as follows:- **Columns:** - The first column indicates the sample number (1 to 5). - The subsequent columns represent the four observations recorded for each sample.- **Rows:** - Each row corresponds to a different sample and contains the observation values collected for that sample.### Detailed Breakdown#### Sample 1:- Observation 1: 604- Observation 2: 612- Observation 3: 588- Observation 4: 600#### Sample 2:- Observation 1: 597- Observation 2: 601- Observation 3: 607- Observation 4: 603#### Sample 3:- Observation 1: 581- Observation 2: 570- Observation 3: 585- Observation 4: 592#### Sample 4:- Observation 1: 620- Observation 2: 605- Observation 3: 595- Observation 4: 588#### Sample 5:- Observation 1: 590- Observation 2: 614- Observation 3: 608- Observation 4: 604This tabular data is crucial for analyzing variations across different samples and observations, enabling statistical assessments such as calculating means, variances, and other relevant statistics for educational and research purposes.

Given, Standard deviation of the process = 15 Sample size n = 4 At n=4, A2 = 0.729 X-chart : The process is in control as the values are under the range of LCL and UCL. A new sample has the following readings : 625, 592, 612, and 650 Average = (625+592+612+650)/4 = 619.75 This is greater than UCL i.e., 614.53 , so the process is not in control.