Question

Use the rank correlation coefficient to test for a correlation between the two variables. Use a...

Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of α=0.01 Two judges ranked seven bands in a finals competition of marching bands​ (Coppell, Keller,​ Grapevine, Dickinson,​ Poteet, Fossil​ Ridge, Heritage), and their rankings are listed below. Test for a correlation between the two judges. Do the judges appear to rank about the same or are they very​ different?

 Band Cpl Klr Grp Dck Ptt 6 5 3 2 4 7 1 4 5 7 2 3 6 1

What are the null and alternative​ hypotheses

Calculate the test statistic. rs equals=

Find the critical values. rs = ±

Do the judges appear to rank about the same or are they very​ different?

(Reject or Fail to Reject) Ho. There (is or is not) sufficient evidence to support the claim of a correlation between the two judges. The two judges appear to (rank the bands very differently, have opposite rankings, rank the bands about the same)

Homework Answers

Answer #1
Band First judge Second Judge d^2
Cpl 6 4 4
Klr 5 5 0
Grp 3 7 16
Dck 2 2 0
Ptt 4 3 1
FR 7 6 1
Her 1 1 0
Total 22

Spearman Rank Correlation is given by,

The null and alternnative hypothesis are,

The test statistic equals,

The critical value is given by,

Failed to reject H0. There is sufficient evidence to support the claim of a correlation between the two judges appear to rank the bands very differently.

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