Sample Average Range 1 67 62 69 65 62 61 64.3 8 2 65 68 68 67 68 63 66.5 5 3 65 67 66 66 66 65 65.8 2 4 65 66 67 67 66 66 66.2 2 5 65 68 68 66 63 66 66.0 5 6 67 66 69 65 65 67 66.5 4 7 66 66 67 67 66 67 66.5 1 8 67 67 66 64 64 67 65.8 3 9 67 65 67 65 66 66 66.0 2 10 66 66 70 65 66 64 66.2 6 11 65 65 64 67 68 62 65.2 6 12 68 61 68 69 62 68 66.0 8 13 64 66 66 68 66 65 65.8 4 14 66 63 66 71 65 64 65.8 8 15 67 69 63 67 65 62 65.5 7 16 64 66 64 68 66 66 65.7 4 17 67 68 65 65 65 67 66.2 3 18 66 68 66 66 68 63 66.2 5 19 65 65 66 66 67 64 65.5 3 20 66 68 63 66 67 65 65.8 5 21 67 65 66 64 67 64 65.5 3 22 66 68 65 67 64 70 66.7 6 23 63 66 68 63 68 64 65.3 5 24 66 65 68 69 68 66 67.0 4 25 68 66 67 67 69 66 67.2 3 Avg = 65.97 4.48
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To determine if the process is in control, we look at the pattern of variation for the averages. The question states that the pattern of variation for the averages is random. This suggests that there are no systematic or assignable causes of variation, indicating Show more…
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El Toro Grande Restaurant advertises that customers will have their orders taken within three minutes of being seated. Management wants to monitor average times, as it is such an important guarantee for business. Construct x̄ - and s-charts for the data given in the worksheet pro07-05 in the ch07data.xlsx file for this chapter. a. Compute the sample means and the average standard deviation, calculate the control limits, and plot them on control charts. b. Does the process appear to be in statistical control? Why or why not? c. Calculate the process capability statistics, using three minutes as the upper tolerance limit and zero as the lower tolerance limit. What recommendation would you make to management concerning the process, based on your findings? 1 1.22 1.54 1.53 1.86 1.49 2 1.48 1.18 1.41 1.29 1.61 3 2.12 1.76 1.29 1.78 1.74 4 1.34 1.22 1.29 1.69 1.42 5 1.11 1.21 1.34 1.95 1.22 6 0.73 1.97 1.51 1.67 1.77 7 1.20 1.46 1.05 1.14 1.80 8 1.72 1.58 1.79 1.95 0.83 9 1.23 1.39 1.57 1.49 1.58 10 0.70 0.94 1.14 1.54 1.81 11 1.50 1.83 1.60 1.15 1.79 12 1.72 1.61 1.63 1.84 1.95 13 1.64 1.13 1.60 1.87 1.36 14 0.73 1.39 1.39 1.85 1.86 15 1.72 1.42 1.59 0.70 1.55 16 1.91 2.08 1.64 1.77 1.60 17 1.63 1.57 0.95 2.02 1.69 18 1.53 1.47 2.05 1.19 1.52 19 1.18 1.78 1.37 1.53 1.30 20 1.74 2.14 1.24 0.92 1.34 21 1.47 1.89 1.53 2.28 1.84 22 1.68 1.35 1.26 1.58 1.63 23 0.99 1.57 1.45 1.50 1.98 24 1.92 1.01 0.93 1.68 1.96 25 2.15 1.57 1.75 1.72 1.63 26 1.13 0.99 1.27 1.35 1.37 27 1.87 1.74 0.89 1.61 1.77 28 0.99 1.36 0.89 1.54 2.01 29 1.75 1.96 1.57 1.67 2.31 30 1.59 2.15 1.68 1.42 1.50 31 0.93 1.65 1.29 1.02 1.48 32 1.40 1.98 1.54 0.97 1.62 33 1.69 1.62 1.47 1.81 0.97 34 1.98 1.26 1.32 1.17 1.39 35 1.73 1.42 2.06 1.27 1.34 36 1.45 1.57 1.70 1.32 1.26 37 1.98 1.61 1.45 1.46 2.19 38 1.46 1.46 1.70 1.56 1.93 39 1.80 1.34 1.46 1.91 1.10 40 1.04 1.29 1.30 1.77 1.13
Sri K.
7-33 The average time (minutes) that a customer has to wait for the arrival of a cab after calling the company has been observed for random samples of size 4. The data for 20 such samples are shown in Table 7-23. Previous analysis gave the upper and lower control limits for an X-chart when the process was in control as 10.5 and 7.7 minutes respectively. What is your estimate of the standard deviation of the waiting time for a customer? Construct a moving-average control chart using a span of 3. What conclusions can you draw from the chart? TABLE 7-23 Sample Average Waiting Time Sample Average Waiting Time Sample Average Waiting Time Sample Average Waiting Time 1 8.4 6 9.4 11 8.8 16 9.9 2 6.5 7 10.2 12 10.0 17 10.2 3 10.8 8 8.1 13 9.5 18 8.3 4 9.7 9 7.4 14 9.6 19 8.6 5 9.0 10 9.6 15 8.3 20 9.9 7-34 Consider Exercise 7-33 which deals with the average wait time for the arrival of a cab. Using the data in Table 7-23, construct a geometric moving-average control chart. Use a weighing factor of 0.10. What conclusions can you draw from the chart? How is it different from the moving-average control chart constructed in Exercise 7-33?
Use Excel, SPSS, StatDisk, or some other technology to find the requested measures of central tendency for the following data set. You should be able to select the table and copy it directly to Excel or other such programs. 39.3 41.3 48.9 52.4 55.7 61.7 65.2 71.4 73.6 73.6 58.7 49.9 55.4 55 41 59 70 48.3 53.8 53.6 55 62.3 51.3 63.3 53.8 41 57.7 62.3 51.7 65.7 54 62 56.6 51.3 58.7 55.4 54.8 57.2 62.6 45.6 45.2 69 55.2 38.6 43.8 56.6 60.1 38.6 40 54.2 49.1 51.5 64 59.2 55 54.2 59 52.6 50.6 61.7 61.2 51.7 52.3 70 48.8 51.7 54.2 47.7 60.7 59 Report the mean using the rounding rules suggested in the book. mean = median =
Adi S.
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