Question

E A claim is made that there is no correlation between fuel efficiency and cargo capacity in pickup trucks. A sample of 8 models of pickup trucks were ranked according to their fuel efficiency and their cargo capacity. These ranks are given in the table below. Model Fuel Efficiency Cargo Capacity А 3 6 B 8 7 с 2 1 D 6 8 E 2 F 4 3 G 4 H 5 5 1 Round your answers to 3 places after the decimal point, if necessary. (a) Find the value of the (Spearman's) rank correlation coefficient test statistic. Test statistic: rs - (b) Find the critical values of (Spearman's) rank correlation coefficient if this test is conducted at the 0.2 significance level. Do not type "+" in front of your answer the is already given in front of the answer box below). Critical values: rs = = of this test?

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Answer 1

Differ ance of Rank - 3 9 Rank of Rank of fuel efficiency corogo capacity 3 6 8 ㅋ a 1 6 7 2 4 1 1 1 4 5 25 그 1 Galore 1 -3 9 5 50 Spearman's Rank correlation coefficient I - 6 Ed? 6 Ed? n (m²1 1 n3.n 11 1 6 (50) 512-8 I 0.5952 =0.4047 Is=10.4047 B Here n = 8 d = 0.2 But its two failed test so 0% = 0. 1 & Criticle value at n=8 and x=0,1 0.643 Criticle value to + 0.643 Those it not sufficient evidence to support the claim that there is no correlation between fiel efficiency and cargo capicity.