Question

14. The Wilcoxon Signed Rank test is used _________

(A)

Only with independent samples

(B)

Only in matched pairs samples (dependent samples)

(C)

To test for randomness

(D)

As an alternative to the Kruskal-Wallis test

15. Which of the following test must be two-sided?

(A)

Wilcoxon Signed Rank

(B)

Kruskal-Wallis

(C)

Runs test

(D)

Sign test

16. In testing for the difference between two populations, it is
possible to use _________

(A)

The Wilcoxon Rank-Sum test

(B)

The Sign test

(C)

Either of (A) or (B)

(D)

None of these

17. In a Wilcoxon Rank-Sum test _________

(A)

Ties never affect the decision

(B)

Ties always affect the decision

(C)

Ties within one sample may affect the decision

(D)

Ties between two samples may affect the decision

18. What symbol represents the test statistic for the
Mann–Whitney test?

(A)

H

(B)

U

(C)

T

(D)

Z

19. Two types of errors associated with hypothesis testing are
Type I and Type II. Type II error is committed when _________

(A)

We reject the null hypothesis whilst the alternative hypothesis is
true

(B)

We reject a null hypothesis when it is true

(C)

We accept a null hypothesis when it is not true

(D)

None of these

20. By taking a level of significance of 5% it is the same as
saying _______

4

(A)

We are 5% confident the results have not occurred by chance

(B)

We are 95% confident that the results have not occurred by
chance

(C)

We are 95% confident that the results have occurred by chance

(D)

We are 90% confident that the results have occurred by chance

21. Parametric test, unlike the non-parametric tests, make
certain assumptions about _________

(A)

The population size

(B)

The underlying distribution

(C)

The sample size

(D)

Random sample

22. The level of significance can be viewed as ___________ that
an analyst will accept when making a decision.

(A)

the amount of confident

(B)

the amount of risk

(C)

the acceptance rejoin

(D)

the rejection rejoin

23. One or two tail test will determine _________

(A)

If the two extreme values (min or max) of the sample need to be
rejected

(B)

If the hypothesis has one or possible two conclusions

(C)

If the region of rejection is located in one or two tails of the
distribution

(D)

None of these

24. Which of the following is not true of parametric
statistics?

(A)

They are inferential tests

(B)

They assume certain characteristics of population parameters

(C)

They assume normality of the population

(D)

They are distribution-free

Answer #1

In a Wilcoxon signed rank test, the test statistic is calculated
as 20. If there are n=10 observations for which Ha D>0, and a
test is performed at the 5% significance level, then:
A )reject the null hypothesis
B )dont reject the null hypothesis
C )the test results are inconclusive
D )perform a parametric test

If the assumptions for a parametric one-way ANOVA are not met,
an appropriate alternative statistical test would be which of the
following? Provide your rationle below the question.
a. Mann-Whitney U
b. Kruskal-Wallis H
c. Wilcoxon Signed Ranks
d. Friedman's
Rationale:

Using the statistical procedure THE WILCOXON SIGNED RANK
TEST
that makes use of the magnitudes of the differences between
measures and a
hypothesized location parameter rather than just the signs of
the differences.
Sixteen laboratory animals were fed a special diet from birth
through age 12 weeks. Their
weight gain (in grams) were as follows:
63 68 79 65 64 63 65 64 76 74 66 66 67 73 69 76
Can we conclude from these data that the diet...

Using the THE WILCOXON SIGNED-RANK TEST
Sixteen laboratory animals were fed a special diet from birth
through age 12 weeks. Their
weight gain (in grams) were as follows:
63 68 79 65 64 63 65 64 76 74 66 66 67 73 69 76
Can we conclude from these data that the diet results in a mean
weight gain of less than 70
grams? Let α = 0.05.
Note: There are two possible ways to analyze this data. Use the...

The following data represent the breaking strengths of samples
of 20 gauge insulated copper wire from three different suppliers.
The researcher is interested in finding evidence that the
distribution of breaking strength differs by supplier. Use the .01
significance level and the Kruskal-Wallis test to answer the
following questions.
Supplier
A
B
C
150
157
143
154
161
147
156
163
151
161
166
154
162
170
156
QUESTION 5 Give the value of the Kruskal-Wallis test statistic
for the...

46) The following are the ratings (0 to 4) given by 12
individuals for two possible new flavors of soft drinks.
Flavor
A
B
C
D
E
F
G
H
I
J
K
L
#1
4
2
3.5
1
0
3
2.5
4
2
0
3
2
#2
3
3
3
2.5
1.5
3.5
4
3
2
1
2
2
Wilcoxon rank-sum is to be used.
What is the z-test statistic?
A) −0.3464
B) 0.3464
C) 8.6602
D) 0.2807
61)...

In testing the difference between two population means using two
independent samples, the population standard deviations are assumed
to be unknown, each sample size is 30, and the calculated test
statistic z = 2.56. If the test is a two-tailed and the 5% level of
significance has been specified, the conclusion should be:
a.
none of these answers is correct.
b.
choose two other independent samples.
c.
reject the null hypothesis.
d.
not to reject the null hypothesis.

A Kruskal-Wallis test is conducted on and experiment that was
testing three different levels of a fertilizer on the growth of the
same variety of tomatoes. Site 1 received no fertilizer, Site 2
received low levels of fertilizer, Site 3 received high levels of
fertilizer. All sites were treated identically in terms of the
amount they are watered, time of planting, etc. A random sample of
9 mature tomatoes is selected from each site. The weights are
recorded.
The output...

Four different paints are advertised to have the same drying
times. Use the Kruskal Wallis Test – Analysis of Variance by Ranks,
to verify the manufacturer’s claim. Remember that seven samples
were tested for each of the paints. The time in minutes until the
paint was dry enough for a second coat to be applied was recorded.
Below are the results. Paint 1 Rank Paint 2 Rank Paint 3 Rank Paint
4 Rank 114 112 126 115 117 118 127...

Assume that both samples are independent simple random
samples from populations having normal distributions.
4) A researcher obtained independent random samples of men from two
different towns. She recorded the weights
of the men. The results are summarized below:
Town A Town B
n1= 41 n 2 = 21
x1 = 165.1 lb x2 = 159.5 lb
s1 = 34.4 lb s2 = 28.6 lb
Use a 0.05 significance level to test the claim that there is more
variance in...

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