PYC3714/202/2/2026
PYC3714 Assignment 2 Solutions 2026
UNISA
Psychological Research
Assignment 2 — Semester 2 2026
Full Worked Solutions
Due: Friday, 28 August 2026, 11:00 PM
,Question 1
Given data
Extra tutorials (EX)
78, 85, 90, 72, 80, 60, 65, 75, 87, 95
No extra tutorials (NO)
52, 49, 55, 48, 60, 54, 40, 30, 50, 33
1.1 Research hypothesis (directional)
Research hypothesis:
Students who attend extra tutorial sessions will obtain higher examination scores than students who do
not attend extra tutorial sessions.
1.2 Statistical hypotheses
Let
• μEX = Population mean exam score of students attending extra tutorials
• μNO = Population mean exam score of students not attending extra tutorials
Null hypothesis (H₀):
𝐻0 : 𝜇𝐸𝑋 ≤ 𝜇𝑁𝑂
Alternative hypothesis (H₁):
𝐻1 : 𝜇𝐸𝑋 > 𝜇𝑁𝑂
This is a one-tailed (directional) hypothesis because the lecturer expects tutorial students to perform
better.
2
, PYC3714/202/2
• 1.3 Descriptive statistics
Extra Tutorials
Score x−x̄ (x−x̄)²
78 2.3 5.29
85 9.3 86.49
90 14.3 204.49
72 -3.7 13.69
80 4.3 18.49
60 -15.7 246.49
65 -10.7 114.49
75 -0.7 0.49
87 11.3 127.69
95 19.3 372.49
Totals 1190.10
Sample size
𝑛 = 10
Mean
∑𝑋
𝑋ˉ =
𝑛
78 + 85 + 90 + 72 + 80 + 60 + 65 + 75 + 87 + 95
=
10
787
=
10
= 78.70
Standard deviation
∑(𝑥 − 𝑥ˉ)2
𝑠=√
𝑛−1
1190.10
=√
9
= √132.23
= 11.50
3
PYC3714 Assignment 2 Solutions 2026
UNISA
Psychological Research
Assignment 2 — Semester 2 2026
Full Worked Solutions
Due: Friday, 28 August 2026, 11:00 PM
,Question 1
Given data
Extra tutorials (EX)
78, 85, 90, 72, 80, 60, 65, 75, 87, 95
No extra tutorials (NO)
52, 49, 55, 48, 60, 54, 40, 30, 50, 33
1.1 Research hypothesis (directional)
Research hypothesis:
Students who attend extra tutorial sessions will obtain higher examination scores than students who do
not attend extra tutorial sessions.
1.2 Statistical hypotheses
Let
• μEX = Population mean exam score of students attending extra tutorials
• μNO = Population mean exam score of students not attending extra tutorials
Null hypothesis (H₀):
𝐻0 : 𝜇𝐸𝑋 ≤ 𝜇𝑁𝑂
Alternative hypothesis (H₁):
𝐻1 : 𝜇𝐸𝑋 > 𝜇𝑁𝑂
This is a one-tailed (directional) hypothesis because the lecturer expects tutorial students to perform
better.
2
, PYC3714/202/2
• 1.3 Descriptive statistics
Extra Tutorials
Score x−x̄ (x−x̄)²
78 2.3 5.29
85 9.3 86.49
90 14.3 204.49
72 -3.7 13.69
80 4.3 18.49
60 -15.7 246.49
65 -10.7 114.49
75 -0.7 0.49
87 11.3 127.69
95 19.3 372.49
Totals 1190.10
Sample size
𝑛 = 10
Mean
∑𝑋
𝑋ˉ =
𝑛
78 + 85 + 90 + 72 + 80 + 60 + 65 + 75 + 87 + 95
=
10
787
=
10
= 78.70
Standard deviation
∑(𝑥 − 𝑥ˉ)2
𝑠=√
𝑛−1
1190.10
=√
9
= √132.23
= 11.50
3
