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,OP2601 Assignment 2 Semester 1 2025 - DUE 3
1 March 2025 ;100 % TRUSTED working
MULTIPLE CHOICE,ASSURED EXCELLENCE
QUESTION 1 [10] 1.1 In your own words, briefly name and
explain the first three steps of the research process. Provide
examples where possible. (3) 1.2 In your own words,
differentiate between descriptive statistics and inferential
statistics. Provide examples where possible. (2) 1.3 Describe the
differences or similarities between the mean, median and
mode. (3) 1.4 Explain the characteristics of a normal
distribution. (2) QUESTION 2 [7] Thabiso and Tshepo, twin
siblings, are participating in a soccer betting competition with a
chance to win R5 000 in cash prizes. The competition requires
participants to bet on a winning team. Thabiso submitted 10
entries, while Tshepo submitted 15, contributing to a total of
500 qualifying entries. They are concerned about their chances
of winning. Use this information to answer the following
questions: 2.1 What is the probability that Thabiso will win the
first prize? (2) 2.2 What is the probability that Tshepo will win
the second prize if Thabiso wins the first prize? (Note: The
winner of the first prize is not eligible for the second or third
prize.) (2) 2.3 What is the probability that Thabiso and Tshepo
will win the first and second prizes? (3) QUESTION 3 [19] Mental
health challenges have become an increasing concern on
university campuses worldwide, with many students
, experiencing stress, anxiety and depression due to academic
pressure, social isolation and other factors. Regular physical
activity is often promoted as a way of improving mental well-
being. Numerous studies suggest that exercise can have a
positive effect on people’s mental health by reducing stress,
improving their mood and increasing their overall emotional
resilience. In Pretoria, a group of research experts sought to
investigate the relationship between lower physical activity and
risk of depression among undergraduate students. Their study
aimed to examine whether students with lower levels of
physical activity (X) are likely to experience increased risk of
developing depression and anxiety (Y). Use the data provided to
answer the questions that follow. Participants (undergraduate
students) Physical activity (X) Risk of depression/anxiety (Y) X²
Y² XY N = 10 ƩX = 72 ƩX2 = 534 ƩY = 95 ƩY2 = 961 ƩXY = 682 ƩXƩY
= 72 x 95 = 6840 (ƩX)2 = (72)2 = 5184 (ƩY)2 = (95)2 = 9025 3.1
Calculate the relationship between students’ engagement in
physical activity (X) and their risk of developing depression and
anxiety (Y). (3) 3.2 Interpret the correlation coefficient. (2) 3.3
What can you deduce about the nature of the relationship
between the students’ physical activity (X) and their risk of
developing depression and anxiety (Y)? (2) 3.4 Calculate the
percentage of common variance between the two sets of
scores. (1) 3.5 If the slope is 0,13, calculate the intercept. (3) 3.6
Calculate the depression/anxiety score if the students’ physical
,OP2601 Assignment 2 Semester 1 2025 - DUE 3
1 March 2025 ;100 % TRUSTED working
MULTIPLE CHOICE,ASSURED EXCELLENCE
QUESTION 1 [10] 1.1 In your own words, briefly name and
explain the first three steps of the research process. Provide
examples where possible. (3) 1.2 In your own words,
differentiate between descriptive statistics and inferential
statistics. Provide examples where possible. (2) 1.3 Describe the
differences or similarities between the mean, median and
mode. (3) 1.4 Explain the characteristics of a normal
distribution. (2) QUESTION 2 [7] Thabiso and Tshepo, twin
siblings, are participating in a soccer betting competition with a
chance to win R5 000 in cash prizes. The competition requires
participants to bet on a winning team. Thabiso submitted 10
entries, while Tshepo submitted 15, contributing to a total of
500 qualifying entries. They are concerned about their chances
of winning. Use this information to answer the following
questions: 2.1 What is the probability that Thabiso will win the
first prize? (2) 2.2 What is the probability that Tshepo will win
the second prize if Thabiso wins the first prize? (Note: The
winner of the first prize is not eligible for the second or third
prize.) (2) 2.3 What is the probability that Thabiso and Tshepo
will win the first and second prizes? (3) QUESTION 3 [19] Mental
health challenges have become an increasing concern on
university campuses worldwide, with many students
, experiencing stress, anxiety and depression due to academic
pressure, social isolation and other factors. Regular physical
activity is often promoted as a way of improving mental well-
being. Numerous studies suggest that exercise can have a
positive effect on people’s mental health by reducing stress,
improving their mood and increasing their overall emotional
resilience. In Pretoria, a group of research experts sought to
investigate the relationship between lower physical activity and
risk of depression among undergraduate students. Their study
aimed to examine whether students with lower levels of
physical activity (X) are likely to experience increased risk of
developing depression and anxiety (Y). Use the data provided to
answer the questions that follow. Participants (undergraduate
students) Physical activity (X) Risk of depression/anxiety (Y) X²
Y² XY N = 10 ƩX = 72 ƩX2 = 534 ƩY = 95 ƩY2 = 961 ƩXY = 682 ƩXƩY
= 72 x 95 = 6840 (ƩX)2 = (72)2 = 5184 (ƩY)2 = (95)2 = 9025 3.1
Calculate the relationship between students’ engagement in
physical activity (X) and their risk of developing depression and
anxiety (Y). (3) 3.2 Interpret the correlation coefficient. (2) 3.3
What can you deduce about the nature of the relationship
between the students’ physical activity (X) and their risk of
developing depression and anxiety (Y)? (2) 3.4 Calculate the
percentage of common variance between the two sets of
scores. (1) 3.5 If the slope is 0,13, calculate the intercept. (3) 3.6
Calculate the depression/anxiety score if the students’ physical
