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For a 2-tailed Wilcoxon test with an alpha = .05 and a sample size of 12 partici

ID: 3172117 • Letter: F

Question

For a 2-tailed Wilcoxon test with an alpha = .05 and a sample size of 12 participants, what is the critical value?

5

7

10

13

1 points

Question 4

In what way are the Mann-Whitney and Wilcoxon tests similar?

Both may be used for independent-measures studies.

Very small values of either test suggest that a difference exists between treatments.

They use the same formulas for computing the test statistic.

They are both more sensitive statistical tests than parametric tests like t-tests because they use interval or ratio data while t-test use ordinal data.

1 points

Question 5

A researcher wanted to test whether participants had different rankings of pain relief for two different treatments (lower scores reflect lower pain ranking). Use the Wilcoxon test to determine whether the two treatment conditions are significantly different (n = 7, alpha = .05, two-tailed)

Participant

Treatment I

Treatment II

A

8

6

B

10

7

C

15

8

D

14

14

E

8

7

F

10

5

G

9

9

Wilcoxon T = 0, and the critical value = 2, so we will reject the null hypothesis.

Wilcoxon T = 1.5, and the critical value = 2, so we will reject the null hypothesis.

Wilcoxon T = 5, and the critical value = 2, so we will reject the null hypothesis.

Wilcoxon T = 26.5, and the critical value = 21, so we will fail to reject the null hypothesis.

1 points

Question 6

Which of the following is the correct outcome statement for the previous question.

We rejected the null hypothesis and concluded that Treatment II had lower pain rankings than Treatment I.

We rejected the null hypothesis and concluded that Treatment I had lower pain rankings than Treatment II.

We failed to reject the the null hypothesis and concluded that Treatment I and Treatment II are not significantly different in pain relief rankings.

5

7

10

13

Explanation / Answer

3.critical value 13 from wilcoxon pdf table for

alpha =0.05,df=12

4.very small values of either tests says that difference exists between treatments is right option

5. Option 1 wilcoxon T =0 is right

6.we reject null hypothesis and conclude treatment 2 had lower pain rankings than 1

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