Q2. Observation from two random and independent samples, drawn from population 1 and 2, are given below. Use the Wilcoxon rank sum test to determine whether population I is shifted to the left of population 2. Sample 1 Sample 2 (1) State the null and alternative hypotheses to be tested. 33 61 20 19 40 26 36 65 25 35 (2) Rank the combined sample from smiallest to largest. Calculate T,. T (3) What is the rejection at a = 0.05? (4) State your conclusion.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Q2. Observation from two random and independent samples, drawn from population 1 and 2, are
given below. Use the Wilcoxon rank sum test to determine whether population 1 is shifted to the
left of population 2.
Sample 1
Sample 2
(1) State the null and alternative hypotheses to be tested.
33
61
20
19
40
26
36
65
25
35
(2) Rank the combined sample from sniallest to largest. Calculate T,, T,
(3) What is the rejection at a = 0.05?
(4) State your conclusion.
Q3. Based on Q2. Answer the following:
(a) Calculate Spearman's rank correlation coefficient.
(b) Do the data present sufficient evidence to indicate a correlation between sample 1 and 2?
Use a = 0.05.
Transcribed Image Text:Q2. Observation from two random and independent samples, drawn from population 1 and 2, are given below. Use the Wilcoxon rank sum test to determine whether population 1 is shifted to the left of population 2. Sample 1 Sample 2 (1) State the null and alternative hypotheses to be tested. 33 61 20 19 40 26 36 65 25 35 (2) Rank the combined sample from sniallest to largest. Calculate T,, T, (3) What is the rejection at a = 0.05? (4) State your conclusion. Q3. Based on Q2. Answer the following: (a) Calculate Spearman's rank correlation coefficient. (b) Do the data present sufficient evidence to indicate a correlation between sample 1 and 2? Use a = 0.05.
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