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Type I error: Washers used in a certain application are supposed to have a thickness of...

Type I error: Washers used in a certain application are supposed to have a thickness of 2 millimeters. A quality control engineer measures the thicknesses for a sample of washers and tests H0: μ = 2 versus H1: μ ≠ 2.

b. If a Type II error is made, what conclusion will be drawn regarding the mean washer thickness?

Math   Statistics-And-Probability   
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Answer #1

Since we are given as null hypothesis H0: μ = 2 this means that the thickness of the mean washers is 2 millimeters.

The alternate hypothesis  H1: μ ≠ 2 means that the thickness of the mean washers is not 2 millimeters.

The type II error occurs when there is an error in accepting the null hypothesis when it is not true.

The conclusion is the thickness of the mean washers is 2 millimeters but in actual the mean thickness is not 2 millimeters.

Please do the comment for any doubt or clarification. Thank You!

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