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TABLE 18-4
a Factory Supervisor Is Concerned That

question 111

Multiple Choice

TABLE 18-4
A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below.
 Hour XˉR118.425216.927323.030421.223521.024624.025719.312815.814920.0131023.011\begin{array}{lll}\text { Hour } &\bar{X} &R\\\hline & & \\1 & 18.4 & 25 \\2 & 16.9 & 27 \\3 & 23.0 & 30 \\4 & 21.2 & 23 \\5 & 21.0 & 24 \\6 & 24.0 & 25 \\7 & 19.3 & 12 \\8 & 15.8 & 14 \\9 & 20.0 & 13 \\10 & 23.0 & 11\end{array}
She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds, respectively.

-Referring to Table 18-4, suppose the supervisor constructs an Xˉ\bar{X} chart to see if the process is in-control. What is the center line of the chart?


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A pivotal event in British history (1688) marking the overthrow of King James II and the establishment of William III and Mary II as co-rulers, leading to the constitutional monarchy.

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