At a manufacturing company for medical supplies, machines produce parts used in highly specialized lasers. Company researchers are testing a new machine designed to improve the precision of the parts. The null hypothesis is that the new machine does not improve the precision. For the researchers, the more consequential error would be that the new machine actually improves the precision, but the test does not detect the improvement. Which of the following should the researchers do to avoid the more consequential error?
A) Increase the significance level to increase the probability of a Type I error.
B) Increase the significance level to decrease the probability of a Type I error.
C) Decrease the significance level to increase the probability of a Type I error.
D) Decrease the significance level to decrease the probability of a Type I error.
E) Decrease the significance level to decrease the standard error.

According to the information of the problem we can say that the researchers have the difficulty with a test that is evaluating a machine, which works well but the test does not get to verify this information correctly, we have that the null hypothesis is that the new machine does not improve precision, so the risk of the researchers is to accept the hypothesis when it is false, what is called type II error, to avoid this, the level of significance should be increased, which in turn would increase the probability of type I error. , so the correct answer is A.

psm22415 psm22415 · Answer 2 · 2021-12-07T07:38:48+01:00

The required correct statement is 'Increase the significance level to increase the probability of a type I error' .

Given that,

Company researchers are testing a new machine designed to improve the precision of the parts.

The null hypothesis is that the new machine does not improve the precision.

For the researchers, the more consequential error would be that the new machine actually improves the precision, but the test does not detect the improvement.

We have to determine,

Which of the following should the researchers do to avoid the more consequential error.

According to the question,

Company researchers are testing a new machine designed to improve the precision of the parts.

The null hypothesis is that the new machine does not improve the precision.

The researchers have the difficulty with a test that is evaluating a machine, which works well but the test does not get to verify this information correctly.

The null hypothesis is that the new machine does not improve precision, so the risk of the researchers is to accept the hypothesis when it is false, what is called type II error, to avoid this.

The researchers, the more consequential error would be that the new machine actually improves the precision, but the test does not detect the improvement.

The level of significance should be increased, which in turn would increase the probability of type I error.

Hence, The required correct statement is Increase the significance level to increase the probability of a type I error.

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https://brainly.com/question/14592910