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The following data represent the breaking strengths of samples of 20 gauge insul

ID: 3434204 • Letter: T

Question

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 .10 significance level and the Kruskal-Wallis test to answer the following questions.

Supplier

A

B

C

140

156

123

144

164

127

145

166

144

151

169

154

152

180

155

Give the value of the Kruskal-Wallis test statistic for the above data.

a.

1.836

b.

7.265

c.

8.045

d.

9.395

e.

5.435

Which of the following correctly describes the p-value?

a.

p-value < .01

b.

.01 < p-value < .025

c.

.025 < p-value < .05

d.

.05 < p-value < .10

e.

p-value > .10

What is the correct critical value?

a.

7.378

b.

5.991

c.

4.605

d.

6.93

e.

9.210

What is the correct decision?

a.

Reject H0

b.

Do Not Reject H0

c.

Reject HA

d.

Do Not Reject HA

e.

Leprechaun

If the null hypothesis of identical distributions is in fact true, what would be the expected (average) value of the test statistic for this experiment?

a.

3

b.

1

c.

0

d.

2

e.

15

Supplier

A

B

C

140

156

123

144

164

127

145

166

144

151

169

154

152

180

155

Explanation / Answer

Give the value of the Kruskal-Wallis test statistic for the above data.

Answer: d. 9.395

--------------------------------------------------------------------------------------------------------------------

Which of the following correctly describes the p-value?

Answer: a. p-value < .01

--------------------------------------------------------------------------------------------------------------------

What is the correct critical value?

Answer: b. 5.991

--------------------------------------------------------------------------------------------------------------------

What is the correct decision?

Answer: a .Reject H0

--------------------------------------------------------------------------------------------------------------------

If the null hypothesis of identical distributions is in fact true, what would be the expected (average) value of the test statistic for this experiment?

Answer: c .0

Median n Avg. Rank 145.00 5 5.70 A 166.00 5 13.00 B 144.00 5 5.30 C 152.00 15 Total
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