IOP2601 Assignment 2 Semester 2 DUE 25 August 2025

IOP2601 Assignment 2 Full Solutions Semester 2 2025 - DUE 25 August 2024 ;100 % TRUSTED workings, Expert Solved, Explanations and Solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... MODULE IOP2601 SEMESTER 2 2025 ASSESSMENT 2 Closing date: 25 August 2025 at 14:00 Total: Lessons: 50 marks 7-10 Use computational formulas, where applicable, and round off your final answer to two decimal places. (Values read from tables must be given unaltered) QUESTION 1 [13] 1.1 _____ is a technique applied to samples in order to make inferences about populations. (1) 1.2 The single-sample t-test is used when you have a single set of scores and are investigating whether the mean of this sample equals a known mean. (1) 1.3 A scale possesses the property of equal intervals if the difference between all points on that scale is uniform. Is this statement true or false? (1) 1.4 State the type of error that occurs when a researcher rejects a null hypothesis that is actually true. (1) 1.5 What is the team used when a quantity that does not change and always has the same value? (1) 1.6 Properties of observations that can assume different values are called_____, whereas a variable that can assume any value is known as _____. (2) 1.7 Below are four variables, determine their relationships in terms of Independent or Dependent, and justify. (3) 1.8 Examine the differences or similarities between the mean, median, and mode. QUESTION 2 (3) [6] The University of Land is organising a wellness day for two departments due to ongoing complaints about high levels of burnout. The institution announced that the department with the most winning activities will receive a prize of R10,000.00 aimed at supporting employee wellness initiatives. Department 01 submitted 20 entries, while Department 02 submitted 25. The competition manager noted that 150 entries met the 1 Downloaded by Thomas Mboya () lOMoARcPSD| IOP2601 02 2025 competition criteria. Between the two departments, which has a greater likelihood of winning this significant competition? 2.1 What is the probability that Department 01 will win first prize? (2) 2.2 What is the possibility that department 02 will win second prize, if department 01 wins the first price? (After Department 01 wins first prize, its 20 entries are excluded from the pool). (2) 2.3 Assuming that when a department wins a prize, all its entries are removed from the competition for subsequent prizes, what is the probability that Department 01 wins first prize and Department 02 wins second prize? (2) QUESTION 3 [24] A recent study conducted in Zambia explored how different learning methods, specifically the reliance on AI tools (independent variable), impact students’ cognitive learning outcomes (dependent variable). Following the findings of this study, a research methodology lecturer in South Africa aims to determine whether similar results are observed locally by investigating if students who rely on AI tools (X) are likely to exhibit reduced cognitive learning and academic achievement (Y). N = 10 ƩX = 106 ƩX2 =1152 ƩY =95 ƩY2 = 980 ƩXƩY = 106 x 95 = 10070 (ƩX)2 = (106)2 = 11236 ƩXY = 1045 (ƩY)2 = (95)2 = 9025 3.1 Calculate the strength and direction of the relationship between students’ reliance on AI tools (X) and their cognitive learning and academic performance (Y). 3.2 Interpret the correlation coefficient. (3) (2) 3.3 Based on your response in 3.2, what can you deduce about the nature of the relationship between students’ reliance on AI tools (X) and their cognitive learning and academic performance (Y)? (2) 3.4 Calculate the percentage of common variance between the two sets of scores and illustrate it diagrammatically. (3) 2 Downloaded by Thomas Mboya () lOMoARcPSD| IOP2601 02 2025 3.5 Using the formula provided in this module, calculate the slope of the regression line based on the data you provided. (3) 3.6 Using the slope from 3.5, calculate the intercept. (NB: Use formula provided in this module) (3) 3.7 Calculate the cognitive learning and academic performance (Y) score if students’ reliance on AI tools (X) score is 10. (3) 3.8 Give a graphical representation of the regression line by indicating the intercept and the predicted values (calculated above) on this regression line. (5) QUESTION 4 [7] An IOP2601 lecturer collected information from a group of students in her class. She wanted to know how passionate her students were with regards to the module she was teaching. She then gathered data, using a scale popular to researchers interested in measuring students’ passion towards their academic work. As her outstanding research student, she then sends you an e-mail message where she presented you with a normally distributed population with a mean (μ) of 12, a standard deviation (σ) of 2, and 20 number of cases (N). Further to her e-mail message, she asks you to answer the following questions: 4.1 What is the proportion of students with a raw score greater than 4? 4.2 What is the percentage of students with a raw score less than 16? 4.3 What is the number of students with a raw score between 4 and 16? GRAND TOTAL: [50] © UNISA 2025