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Answer the following questions: Q1. (20 points) Customers arriving at a local restaurant arrival in groups and must wait until finding an available table. The restaurant manager, Mrs. Linda, decides to study the waiting times and records the waiting times for the first eight people customers from the 7:00 pm each Friday, Saturday and Sunday evening for a series of 10 consecutive weeks. She has computed the average and range for each of the subgroups. The results of the collected data and calculations are given in the following table: Data are in minutes. Sep.9 Sep.3 18.0 Sep.16 Sep.23 Sep.10 Sep.11 12.0 12.3 4.8 2.6 Sep.17 13.5 11.5 Sep.18 215 15.5 122 2.4 2.8 4.0 4.8 1.8 Sep.2 Sep.3 15.5 23.0 5.1 6.2 Sep.24 Sep.25 21.5 28.0 4.0 3.6 2.6 Sep.30 16.0 Oct. 1 Oct.2 Oct.7 Oct.8 Date X-bar R Date X-bar R Date X-bar R Oct.9 Oct.14 17.0 21.1 15.0 17.5 175 31.0 7.2 Oct.15 18.0 3.6 Nov.6 3.0 4.4 2.1 3.6 1.8 1.8 Nov.5 Oct. 16 Oct.21 Oct.22 Oct.23 Oct.28 Oct.29 Oct.30 Nov.4 17.5 20.0 19.0 16.0 18.0 18.5 19.5 26.0 5.6 17.0 3.4 20.0 3.6 3.4 3.6 4.8 3.4 3.2 3.8 3.6 1. Find the centerline values for both the X-bar and R charts? 2. Find the values of the upper and lower control limits for both charts? 3. Estimate the process standard deviation? I Answer the following questions: Q1. (20 points) Customers arriving at a local restaurant arrival in groups and must wait until finding an available table. The restaurant manager, Mrs. Linda, decides to study the waiting times and records the waiting times for the first eight people customers from the 7:00 pm each Friday, Saturday and Sunday evening for a series of 10 consecutive weeks. She has computed the average and range for each of the subgroups. The results of the collected data and calculations are given in the following table: Data are in minutes. Sep.9 Sep.3 18.0 Sep.16 Sep.23 Sep.10 Sep.11 12.0 12.3 4.8 2.6 Sep.17 13.5 11.5 Sep.18 215 15.5 122 2.4 2.8 4.0 4.8 1.8 Sep.2 Sep.3 15.5 23.0 5.1 6.2 Sep.24 Sep.25 21.5 28.0 4.0 3.6 2.6 Sep.30 16.0 Oct. 1 Oct.2 Oct.7 Oct.8 Date X-bar R Date X-bar R Date X-bar R Oct.9 Oct.14 17.0 21.1 15.0 17.5 175 31.0 7.2 Oct.15 18.0 3.6 Nov.6 3.0 4.4 2.1 3.6 1.8 1.8 Nov.5 Oct. 16 Oct.21 Oct.22 Oct.23 Oct.28 Oct.29 Oct.30 Nov.4 17.5 20.0 19.0 16.0 18.0 18.5 19.5 26.0 5.6 17.0 3.4 20.0 3.6 3.4 3.6 4.8 3.4 3.2 3.8 3.6 1. Find the centerline values for both the X-bar and R charts? 2. Find the values of the upper and lower control limits for both charts? 3. Estimate the process standard deviation

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