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Give step-by-step solution with explanation and final answer:a -13 : AEE i’ An important aspect of customer service and satisfaction at the Big Country theme park is the maintenance of the washrooms 3 throughout the park. Customers expect the washrooms to be clean; odorless; well-stocked with soap, paper towels, and toilet Sct of paper and to have a comfortable temperature. To maintain quality, park quality-control inspectors randomly inspect washrooms daily (during the day and evening) and record the number of defects (incidences of poof maintenance). The goal of park Lr management is approximately 10 defects per inspection period. The Excel workbook posted to Moodle contains a summary of the observations taken by these inspectors for 20 consecutive inspection periods. Construct the appropriate control chart for this maintenance process using 30 limits. | 7 Sample Number of Defects 1 7 2 14 3 6 4 9 & 12 6 3 ( 7 1 8 7 9 i 10 8 n ies 12 10 13 1 pe) ih 15 9 16 13 17 7 18 15 19 11 20 16. if «What is the 30 upper cantrol limit for this data? (Round to 2 decimal places) Ee ee as ai eo SE —ee

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Give step-by-step solution with explanation and final answer:Uploaded Imagea -13 : AEE i’ An important aspect of customer service and satisfaction at the Big Country theme park is the maintenance of the washrooms 3 throughout the park. Customers expect the washrooms to be clean; odorless; well-stocked with soap, paper towels, and toilet Sct of paper and to have a comfortable temperature. To maintain quality, park quality-control inspectors randomly inspect washrooms daily (during the day and evening) and record the number of defects (incidences of poof maintenance). The goal of park Lr management is approximately 10 defects per inspection period. The Excel workbook posted to Moodle contains a summary of the observations taken by these inspectors for 20 consecutive inspection periods. Construct the appropriate control chart for this maintenance process using 30 limits. | 7 Sample Number of Defects 1 7 2 14 3 6 4 9 & 12 6 3 ( 7 1 8 7 9 i 10 8 n ies 12 10 13 1 pe) ih 15 9 16 13 17 7 18 15 19 11 20 16. if «What is the 30 upper cantrol limit for this data? (Round to 2 decimal places) Ee ee as ai eo SE —ee

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Asked by: gvr
Created at: 2025-07-25 15:38:16

Final Answer:

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Let's solve the problem step by step: ### Step 1: Calculate the Mean Number of Defects (\(\bar{c}\)) First, sum up all the number of defects and divide by the number of samples (20). #### Data: 7, 14, 6, 9, 12, 3, 11, 7, 7, 8, 14, 10, 11, 12, 9, 13, 7, 15, 11, 16 #### Sum: \(7 + 14 + 6 + 9 + 12 + 3 + 11 + 7 + 7 + 8 + 14 + 10 + 11 + 12 + 9 + 13 + 7 + 15 + 11 + 16 = 212\) #### Mean (\(\bar{c}\)): \[ \bar{c} = \frac{212}{20} = 10.6 \] --- ### Step 2: Calculate the Standard Deviation for c-chart For a c-chart, the standard deviation is: \[ \sigma = \sqrt{\bar{c}} \] \[ \sigma = \sqrt{10.6} \approx 3.255 \] --- ### Step 3: Calculate the 3σ Upper Control Limit (UCL) The upper control limit for the c-chart is: \[ UCL = \bar{c} + 3\sigma \] \[ UCL = 10.6 + 3 \times 3.255 \] \[ UCL = 10.6 + 9.765 = 20.365 \] --- ### Step 4: Round to 2 Decimal Places \[ UCL \approx \boxed{20.37} \] --- ## **Final Answer** **The 3σ upper control limit for this data is:** \[ \boxed{20.37} \]

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