» Assignment 4 » Question 3 Timer Notes à Evaluate@ Feedback-. Prin Course Conte
ID: 2922595 • Letter: #
Question
» Assignment 4 » Question 3 Timer Notes à Evaluate@ Feedback-. Prin Course Contents» [18 total pt(s)] The salinity of water samples taken from 3 new and separate sites in the Bimini Lagoon was measured. The data are given below and will be analysed with the Kruskal- Wallis test. Site 1: 49.7 40.3 48.7 46.0 47,6 52.5 44.1 38.7 52.6 Site 2: 49.3 42.0 40.8 38.1 42.6 34.2 38.7 45.3 39.0 52.4 39.3 Site 3: 49.4 48.6 50.3 43.4 49.1 47.9 51.6 52.4 47.1 46.2 43.6 46.8 Which null hypothesis, Ho, l be used to test whether the mean salinity is the same at all three sites? 1 pt(s)) uit Answer Tries 0y1 What is the alternative hypothesis, HA O y for some iJ 1 pt(s)] umit Answer Tries 0V What is the average rank for site 1? 2 pt(s) Suemit Answer Tries oy3 What is the average rank for site 27 2 pt(s)] Suemit Answor Tries 0y3Explanation / Answer
From the given data
1. Null hypothesis: Correct Answer: Otpion D: mu1 = mu2 = mu3
2. Alternative Hypothesis: Correct Answer Option (C) mui not = muj
3. average rank of Site 1 is 3154.694444
4. average rank of site 2 is 1140.364
5. average rank of site 3 is 5104.688
6. average rank of all site is 9399.745581
7. Test statistic 7.81529
8. Chisquare tables
9. 3-1 = 2 degrees of freedom
10. P-value: 0.0201
correct answer: Option (C)0.01 < p-value< 0.025
11. Here P-value < alpha 0.05, so we reject H0
Thus we conclud that mui not = muj i.e. there is significance difference among the 3 groups
Site 1 Site 2 Site 3 Site 1 Site 2 Site 3 49.7 49.3 49.4 26 24 25 40.3 42 48.6 7 9 21 48.7 40.8 50.3 22 8 27 46 38.1 43.4 15 2 11 47.6 42.6 49.1 19 10 23 52.5 34.2 47.9 31 1 20 44.1 38.7 51.6 13 3.5 28 38.7 45.3 52.4 3.5 14 29.5 52.6 39 47.1 32 5 18 52.4 46.2 29.5 16 39.3 43.6 6 12 46.8 17 Rank Sums R 168.5 112 247.5 Group Sizen 9 11 12 R^2/n 3154.694 1140.364 5104.688Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.