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a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the I chart if samples of 15 boxes are taken. (Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to 3 decimal places.) Centerline Upper Control Limit Lower Control Limit b. Analysts obtain the following sample means after a recent inspection of the production process. Can they conclude that the process is under control? Xj = 14.8 X2 = 14.4 X3 = 13.4 X4 = 14.6 Xs = 14.1 X6 = 14.7 O Yes , because all sample means lie within the control limits , and there is no systematic pattern. O Yes , because some sample means lie outside the control limits. O No , because some sample means lie outside the control limits. O No , because even though all sample means lie within the control limits , there is a negative trend.

a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the I chart if samples of 15 boxes are taken. (Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to 3 decimal places.) Centerline Upper Control Limit Lower Control Limit b. Analysts obtain the following sample means after a recent inspection of the production process. Can they conclude that the process is under control? Xj = 14.8 X2 = 14.4 X3 = 13.4 X4 = 14.6 Xs = 14.1 X6 = 14.7 O Yes , because all sample means lie within the control limits , and there is no systematic pattern. O Yes , because some sample means lie outside the control limits. O No , because some sample means lie outside the control limits. O No , because even though all sample means lie within the control limits , there is a negative trend.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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**A production process is designed to fill boxes with an average of 14 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 2 ounces.** ### a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the \(\overline{x}\) chart if samples of 15 boxes are taken. *(Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to 3 decimal places.)* #### Table: | | | |----------------------------|----------| | Centerline | | | Upper Control Limit | | | Lower Control Limit | | --- ### b. Analysts obtain the following sample means after a recent inspection of the production process. Can they conclude that the process is under control? \[ \overline{x}_1 = 14.8 \quad \overline{x}_2 = 14.4 \quad \overline{x}_3 = 13.4 \quad \overline{x}_4 = 14.6 \quad \overline{x}_5 = 14.1 \quad \overline{x}_6 = 14.7 \] #### Options: - ○ Yes, because all sample means lie within the control limits, and there is no systematic pattern. - ○ Yes, because some sample means lie outside the control limits. - ○ No, because some sample means lie outside the control limits. - ○ No, because even though all sample means lie within the control limits, there is a negative trend.
Transcribed Image Text:**A production process is designed to fill boxes with an average of 14 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 2 ounces.** ### a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the \(\overline{x}\) chart if samples of 15 boxes are taken. *(Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to 3 decimal places.)* #### Table: | | | |----------------------------|----------| | Centerline | | | Upper Control Limit | | | Lower Control Limit | | --- ### b. Analysts obtain the following sample means after a recent inspection of the production process. Can they conclude that the process is under control? \[ \overline{x}_1 = 14.8 \quad \overline{x}_2 = 14.4 \quad \overline{x}_3 = 13.4 \quad \overline{x}_4 = 14.6 \quad \overline{x}_5 = 14.1 \quad \overline{x}_6 = 14.7 \] #### Options: - ○ Yes, because all sample means lie within the control limits, and there is no systematic pattern. - ○ Yes, because some sample means lie outside the control limits. - ○ No, because some sample means lie outside the control limits. - ○ No, because even though all sample means lie within the control limits, there is a negative trend.
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