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"

If the conclusion of a test is " reject H0" with 0.05 alpha,
then which one is the correct statement? (choose all that
apply)
a.
Type1 = 0.05 and Type2 = 0
b.
Type1 = 0 and Type2 = 0
c.
Type1 = 0 and Type2 = 0.05
d.
Type1 = 0 and Type2 = unknown amounts
If the conclusion of a test is " do not reject H0" with 0.05
alpha, then which one is the correct statement?
a....

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a. We need to do Two Shapiro tests first and if both conclusions
are not "reject H0", then do Wilcoxon rank sum test with medians to
compare.
b. We need to do Two Shapiro tests first and if both conclusions
are "Do...

We like to test that mean income of town A is higher than that
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A. We need to do Two Shapiro tests first and if both conclusions
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B. We need to do Two Shapiro tests first and if both conclusions
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b. -2.8427
c. -2.8866
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For H0 and H1 with 0.05 alpha,
H0: Variance of weights made by machine1 = Variance of weights
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We have the following outputs.
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Sample size of data from machine 2 = 20
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Which one is the correct one?
a.
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1
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