Question

# Random collections of nine different solutions of a calcium compound were given to two laboratories, A...

Random collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound 1 2 3 4 5 6 7 8 9 Lab A (x) 13.32 15.83 10.80 11.28 9.61 8.64 12.72 14.09 11.58 Lab B (y) 13.19 15.70 10.67 11.48 9.65 8.63 12.79 14.24 11.55 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. Compound Lab A (x) Lab B (y) d = x − y d2 1 2 3 4 5 6 7 8 9 Σd2 = (b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results. What is the level of significance? 0.05 Correct: Your answer is correct. State the null and alternate hypotheses. H0: ρs = 0; H1: ρs ≠ 0 H0: ρs ≠ 0; H1: ρs = 0. H0: ρs = 0; H1: ρs > 0 H0: ρs = 0; H1: ρs < 0 Correct: Your answer is correct. Compute the sample test statistic. (Round your answer to three decimal places.)

(A)

 Compound Lab A Lab B Rank(x) Rank(y) d = x-y d2 1 13.32 13.19 7 7 0 0 2 15.83 15.70 9 9 0 0 3 10.80 10.67 3 3 0 0 4 11.28 11.48 4 4 0 0 5 9.61 9.65 2 2 0 0 6 8.64 8.63 1 1 0 0 7 12.72 12.79 6 6 0 0 8 14.09 14.24 8 8 0 0 9 11.58 11.55 5 5 0 0 Total 0 0

(b)

The level of significance is 0.05

The null and alternate hypotheses. H0: ρs = 0; H1: ρs ≠ 0

Sample test statistic =

= 1

#### Earn Coins

Coins can be redeemed for fabulous gifts.