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27 June, 22:27

The upper and lower limits for diving ring diameters made by John's Swimming Co. are 40 and 39 cm., respectively. John took 11 samples with the following average diameters (39, 39.1, 39.2, 39.3, 39.4, 39.5 39.6, 39.7, 39.8, 39.9, 40). Is the process in control?

A) Yes, no diameters exceeded the control limits.

B) No, some diameters exceeded the control limits.

C) No, there is a distinguishable pattern to the samples.

D) No, the range is not in control.

E) There is not enough information to make a decision.

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  1. 27 June, 22:51
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    C) No, there is a distinguishable pattern to the samples.

    Explanation:

    As can be seen in the samples of diving ring diameters made by John's Swimming Company, the numbers have a difference of 0.1 which is increasing across. For a process to be in control, the outcome should be consistent and stable. Even though the range is within the lower and upper limit, a consistent pattern is visible like 39.1 and 39 have a difference of 0.1, so is 39.9 and 40.
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