A local DMV (location of your choice) wanted to assess the number of mistakes that were made by its operators (aka clerks). One hundred samples were gathered from each of 20 operators (note: n = 100 for calculation of σp but you will need 100 * 20 to calculate p-bar). The results are shown in the table below. The DMV wants to set control limits to include 95% of the random variation. Operator #Number of errorsFraction defectiveOperator #Number of errorsFraction defective16 116 25 121 30 138 41 147 54 155 62 164 75 1711 83 183 93 190 102 204 Calculate p-bar and σp. Complete the fractions defective in chart.Compute the control limits and center line for a p-chart.Plot the fraction defective in a p-chart and decide if the performance of the operators is in control.

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Answered: A local DMV (location of your choice)…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A local DMV (location of your choice) wanted to assess the number of mistakes that were made by its operators (aka clerks). One hundred samples were gathered from each of 20 operators (note: n = 100 for calculation of σ_pbut you will need 100 * 20 to calculate p-bar). The results are shown in the table below. The DMV wants to set control limits to include 95% of the random variation.

Calculate p-bar and σ_p. Complete the fractions defective in chart.
Compute the control limits and center line for a p-chart.
Plot the fraction defective in a p-chart and decide if the performance of the operators is in control.

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