Neco 2021 Biology Question 3

Practice objective / multiple choice question 3 from the 2021 Neco Biology examination.

Neco 2021 Biology Objective / Multiple Choice Hard Difficulty
Question 3 NECO • 2021 • BIOLOGY • objective

A researcher investigates the effect of three fertilizer treatments (Control, Fertilizer\,X, Fertilizer\,Y) on the height of a crop using a randomized complete block design with three soil blocks. The recorded heights (cm) are:\n\nBlock\,1: Control\,12, X\,15, Y\,14\nBlock\,2: Control\,13, X\,18, Y\,16\nBlock\,3: Control\,11, X\,16, Y\,15\n\n(a) Ignoring the block effect, perform a one‑way ANOVA at the 5 % significance level to test whether fertilizer type influences plant height. State the calculated \(F\) value and the conclusion.\n(b) Briefly explain how ignoring the block factor could affect the reliability of the conclusion.

Answer Options

A. F ≈ 10.2 > F_{0.05,2,6}=5.14, so the effect of fertilizer is significant. Ignoring the block factor can decrease the within‑group variability, potentially inflating the apparent significance of the treatment effect.
Correct Answer B. F ≈ 10.2 > F_{0.05,2,6}=5.14, so the effect of fertilizer is significant. Ignoring the block factor can increase the within‑group variability, potentially leading to a failure to detect a real treatment effect or to an inaccurate estimate of the treatment effect.
C. F ≈ 4.5 < F_{0.05,2,6}=5.14, so the effect of fertilizer is not significant. Ignoring the block factor can reduce the within‑group variability, potentially leading to an over‑estimation of treatment differences.
D. F ≈ 7.8 > F_{0.05,2,6}=5.14, so the effect of fertilizer is significant. Ignoring the block factor can increase the within‑group variability, potentially leading to a false indication of a treatment effect.
Correct Answer
B
Correct Option:
F ≈ 10.2 > F_{0.05,2,6}=5.14, so the effect of fertilizer is significant. Ignoring the block factor can increase the within‑group variability, potentially leading to a failure to detect a real treatment effect or to an inaccurate estimate of the treatment effect.

About This Question

This is Neco 2021 Biology Question 3. It is one of the objective questions from the 2021 Neco Biology examination.

Difficulty level: Hard .

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