Question

The table shows a list of analysis goals (i, ii, iii) and different statistical tests (P, Q, R). 

• A. (i)-(P), (ii)-(R), (iii)-(Q)
• B. (i)-(Q), (ii)-(P), (iii)-(R)
• C. (i)-(Q), (ii)-(R), (iii)-(P)
• D. (i)-(R), (ii)-(Q), (iii)-(P)

Hint:

Use ANOVA to compare means of multiple groups, the correlation coefficient to check linear relationships between continuous variables, and the chi-square test for categorical comparisons.

Answer 1

The Correct Option is C

We need to match the analysis goals to the appropriate statistical tests.

Step 1: Analyzing (i).
(i) Comparing the mean body size of three samples of snakes, each from a different population, involves comparing the means of multiple groups. This is typically tested using the Analysis of Variance (ANOVA). Hence, the correct match is (i)-(Q).

Step 2: Analyzing (ii).
(ii) Testing if two continuous traits are linearly associated refers to checking the relationship between two continuous variables. The appropriate test for this is the correlation coefficient (R). Hence, the correct match is (ii)-(R).

Step 3: Analyzing (iii).
(iii) Testing if a plant species shows Mendelian inheritance of flower colour (red, white) is a categorical comparison, where a chi-square test is used to determine whether the observed frequencies match the expected frequencies under Mendelian inheritance. Hence, the correct match is (iii)-(P).

Step 4: Conclusion.
Thus, the correct answer is (C) (i)-(Q), (ii)-(R), (iii)-(P).

Final Answer: \boxed{(C)}