Question

The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture. At the 0.10 level of significance, she performs a two-tail test of the null hypothesis that the mean for the stressed oak furniture is 650. The probability that the engineer concludes the mean amount of force necessary to produce cracks in stressed oak furniture differs from 650 when in fact the amount of force is 650 is 0.05.

True

False

Answer 1

there are 2 Types of errors that can occur during Hypothesis testing

Type I error is the error of rejecting a true null Hypothesis. The probability of a type I error is given by .

Type II error is the failure of rejecting a false null hypothesis.

In the case described, we have a Type I error, as we are concluding the alternate to be in true, when in fact the null is true. Therefore the probability should be = 0.10. In the statement the probability is given as = 0.05, which is FALSE.