A piece of machinery at a manufacturing facility has been set to produce bolts t

Question

A piece of machinery at a manufacturing facility has been set to produce bolts that are an average of 1.5 inches in length. Overnight a mouse crept into the machine and bumped a sensitive piece. The machine is actually producing bolts with an average length of 1.6 inches. A routine quality control sample taken the next day did not reject the null hypothesis that the machine was producing bolts with an average length of 1.5 inches. What happened here?

A Type II error was made.

A Type I error was made.

A correct decision was made.

Explanation / Answer

Here Ho: average length of bolts is 1.5 inches

They fail to Reject the null hypothesis when in fact machine is producing bolts with an average length of 1.6 inches.

So they are accepting the null hypothesis when it is not true.  

This is type 2 error.

answer is

A type 2 erroe was made.

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