Question

We like to test that median weight of products made by machine A is different from median weight of products made by machine B with 0.05 alpha. We used Wilcoxon signed test and p-value of the test is 0.0034. Which one is the correct one? Choose all answers that apply.

a. Type 2 error = Unknown amount

b. Implication of the conclusion is that there is evidence that median weight of products made by machine A is different from median weight of products made by machine B

c. Type 1 error = 0.05

d. Conclusion is "Reject H0"

Answer 1

We want to test that median weight of products made by machine A is different from median weight of products made by machine B with 5% level of significance.

The p-value of the test is 0.0034

Since p value < 0.05, we reject the null hypothesis.

Therefore we have enough evidence to support the claim that median weight of products made by machine A is different from median weight of products made by machine B.

We know that, level of significance alpha=0.05 is also known as type I error.

Therefore correct choices are:

b. Implication of the conclusion is that there is evidence that median weight of products made by machine A is different from median weight of products made by machine B

c. Type 1 error = 0.05

d. Conclusion is "Reject H0"