PYC3714 ASSIGNMENT 2 2026
DUE SEPTEMBER 2026
Question 1
Scenario: Comparison of exam scores between students who attended extra tutorial
sessions (μ₁) and those who did not (μ₂).
1.1. Write an appropriate research hypothesis (directional), in words.
Students who attend extra tutorial sessions will obtain higher exam scores than students
who do not attend extra tutorial sessions.
1.2 Formal statistical hypotheses (H₀ and H₁) using population symbols (2 marks)
Let μ₁ = population mean exam score for students who attend extra tutorials.
Let μ₂ = population mean exam score for students who do not attend extra tutorials.
H₀: μ₁ = μ₂ (or μ₁ − μ₂ = 0)
H₁: μ₁ > μ₂ (or μ₁ − μ₂ > 0)
Directional / one-tailed test, consistent with the research hypothesis.
Page 1 of 11
DUE SEPTEMBER 2026
Question 1
Scenario: Comparison of exam scores between students who attended extra tutorial
sessions (μ₁) and those who did not (μ₂).
1.1. Write an appropriate research hypothesis (directional), in words.
Students who attend extra tutorial sessions will obtain higher exam scores than students
who do not attend extra tutorial sessions.
1.2 Formal statistical hypotheses (H₀ and H₁) using population symbols (2 marks)
Let μ₁ = population mean exam score for students who attend extra tutorials.
Let μ₂ = population mean exam score for students who do not attend extra tutorials.
H₀: μ₁ = μ₂ (or μ₁ − μ₂ = 0)
H₁: μ₁ > μ₂ (or μ₁ − μ₂ > 0)
Directional / one-tailed test, consistent with the research hypothesis.
Page 1 of 11