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.

A) Increase the significance level to increase the probability of a Type I error

Step-by-step explanation:

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.

answer: d. $20

step-by-step explanation:

just took the test

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.