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PYC3714 Assignment 2 Semester 1 2026 - Due 28 August 2026

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PYC3714 Assignment 2 Semester 1 2026 - Due 28 August 2026 1.1. Write an appropriate research hypothesis (directional), in words. (2 marks) 1.2. Convert to formal statistical hypotheses (H₀ and H₁) using population symbols. (2 marks) 1.3. Calculate descriptive statistics for Extra tutorial and No Extra tutorials (sample size, mean, standard deviation). (4 marks) 1.4. State which statistical test is appropriate and why. (1 mark) 1.5. Carry out the test (show step-by-step calculations). (4 marks) 1.6. With a calculated p-value of 0.048 and α = 0.05 (one-tailed), determine statistical significance. (1 mark) 1.7. State your conclusion in plain language. (2 marks) 1.8. State which effect-size measure to compute. (1 mark) 1.9. Calculate the effect size and show formula substitution. (2 marks) 1.10. Interpret the effect size. (1 mark) Marking breakdown — Q1 (20 marks)  Hypothesis (wording): 2 Hypotheses (symbols H, H): 2

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PYC3714
ASSIGNMENT 2
DUE DATE: 28 AUGUST 2026

, PYC3714 ASSIGNMENT 2 2026

DUE 28 AUGUST 2026




Question 1

1.1. Write an appropriate research hypothesis (directional), in words.

Students who attend extra tutorial sessions will have significantly higher exam scores
than students who do not attend extra tutorial sessions.

(Study Guide, Topic 1, Section 1.5)



1.2 Convert to formal statistical hypotheses (H₀ and H₁) using population symbols

H0:μ1=μ2(or μ1−μ2=0)H0:μ1=μ2(or μ1−μ2=0)H1:μ1>μ2(or μ1−μ2>0)H1:μ1>μ2(or μ1
−μ2>0)

μ1μ1 = population mean exam score for students who attend extra tutorials

μ2μ2 = population mean exam score for students who do not attend extra tutorials

(Study Guide, Topic 3, Section 3.1.2)



1.3 Descriptive Statistics

Extra Tutorials Group (Group 1):
Data: 78, 85, 90, 72, 80, 60, 65, 75, 87, 95

Statistic Calculation Value

n₁ Count of scores 10

Σx₁ 78+85+90+72+80+60+65+75+87+95 787

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