**Bearing Diameter Data Analysis****Context:**The data presented in Table 1 consists of \(\overline{x}\) (mean) and \(R\) (range) values for 20 samples, each of size \(n = 5\), taken from a bearing production process. The measurements focus on the inside diameter of the bearing, recorded to three decimal places.**Tasks:**(a) Develop \(\overline{x}\) and \(R\) control charts for this process. Assess whether the process is in statistical control. If not, adjust the trial control limits as required.(b) Considering the assumption that the diameter exhibits a normal distribution, estimate the process's standard deviation.**Data:**| Sample | \(\overline{x}\) | \(R\) | Sample | \(\overline{x}\) | \(R\) ||--------|-----------------|------|--------|-----------------|------|| 1 | 31.6 | 4 | 11 | 29.8 | 4 || 2 | 33.0 | 3 | 12 | 34.0 | 4 || 3 | 35.0 | 4 | 13 | 33.0 | 10 || 4 | 32.2 | 4 | 14 | 34.8 | 4 || 5 | 33.8 | 6 | 15 | 35.6 | 7 || 6 | 38.4 | 10 | 16 | 30.8 | 6 || 7 | 31.6 | 4 | 17 | 33.0 | 5 || 8 | 36.8 | 10 | 18 | 31.6 | 6 || 9 | 35.0 | 15 | 19 | 28.2 | 9 || 10 | 34.0 | 6 | 20 | 33.8 | 6 |*Table 1: Bearing Diameter Data*Use these values to construct control charts, analyze stability,

(a) SInce both X and R chart have outliers, the process is not in control.

Answered: 1. The data shown in Table 1 are and R…

Practical Management Science

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Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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