Answer :
Final answer:
The manufacturing process at John's Swimming Co. is under control because all the 11 sample measurements fall within the established range of 39-40 cm. The average diameter is also around the middle of the range, indicating a well centered process.
Explanation:
The process of checking whether product measurements are within the desired range is called process control in manufacturing industry lingo. In the query, you have asked if the process of John's Swimming Co. is in control based on the given diameters of 11 diving rings ranging from 39 to 40 cm.
In order to affirm that a process is under control, all measurements need to be within the established upper and lower limits, which in this case are 40 and 39 cm, respectively. Going by the specified diameters (39, 39.1, 39.2, 39.3, 39.4, 39.5 39.6, 39.7, 39.8, 39.9, 40), all samples fulfill this criteria. That is, all of them fall within the established range, indicating that the manufacturing process at John's Swimming Co. is indeed under control.
Moreover, the average diameter of John's diving rings (obtained by totaling the individual measures and dividing by the sample count of 11) is around 39.5 cm. This means that the process is not only under control but it's also centered around the middle of the range, demonstrating a well-controlled and organized process.
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