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18 February, 08:26

A company produces an item that is supposed to have a 6-inch hole punched in the center. A quality control inspector is concerned that the machine that punches the hole is "out-of-control" (hole is too large or too small). In an effort to test this, the inspector is going to gather a sample punched by the machine and measure the diameter of the hole. The alternative hypothesis used to statistically test to determine if the machine is out-of-control is:

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  1. 18 February, 11:28
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    The null or assumed state of nature is that the machine is in proper working order.

    The alternative hypothesis would be that the hole is larger or smaller than the specified size.

    If we reject the null hypothesis then we say that we have enough evidence to support the claim that the hole is either larger or smaller than specifications.
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