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TABLE 8-3
A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.
-Referring to Table 8-3, the confidence interval is valid only if the lengths cut are normally distributed.
Variability Within Groups
The extent of variation or differences within a group of data points, often used in statistical analysis to assess homogeneity.
Chance
The occurrence of events in the absence of any obvious intention or cause, often quantified as probability.
Grouping Factor
A variable used to categorize data into different groups for analysis in statistical tests.
Treatment Variables
Variables in an experiment that are manipulated or changed in order to observe their effects on other variables.
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