IOP2601 Assignment 3 (COMPLETE ANSWERS) Semester 1 2024 - DUE 2 May 2024

IOP2601 Assessment 3 (COMPLETE ANSWERS) Semester 1 2024 - DUE 2 May 2024 ;100 % TRUSTED workings, 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)........... QUESTION 1 [12] 1.1 Indicate whether the following statements are True or False. Give reasons for your answer. a) For this module, the level of significance is always given as 0,005. (2) b) A Type I error is made by rejecting the null hypothesis when it is in fact true. (2) c) If you get a negative value for the F-test, this means the test statistic falls inside the rejection area. (2) 1.2 State whether the following alternative hypotheses are nondirectional or directional. Justify your answer. a) There is a significant difference between the performance of students in Assessment 01 and Assessment 02. (2) b) Participation in e-tutor sessions is positively related to student performance of IOP2601 students. (2) c) The performance of IOP2601 students who attend tutorial classes is higher than the performance of IOP2601 students who do not attend tutorial classes. (2) QUESTION 2 [15] The Student Support Department collected data from students registered for IOP2601 in 2023. They wanted to know if there is a difference in the success (performance) in the module between students with a mathematics background and those without a mathematics background. Table 1 provides the performance scores obtained from the 102 randomly selected IOP2601 students. Downloaded by Thomas Mboya () lOMoARcPSD| 2 IOP2601/ASSIGNMENT 03/SEMESTER 1/2024 TURN OVER] Table 1 Statistical Data Mathematics background N x̅ s 2 With mathematics background 51 5,34 1,28 Without mathematics background 51 4,94 1,29 2.1 Formulate an appropriate null hypothesis (H0) in symbol and in words. (2) 2.2 Formulate an appropriate alternative hypothesis (H1) in symbol and in words. (2) 2.3 Is the hypothesis test in this question one-tailed or two-tailed? (1) 2.4 Assuming that the data are normally distributed, select an appropriate statistical test and calculate the test statistic using the information provided in Table 1. Show ALL calculations. (3) 2.5 Determine the degrees of freedom. (2) 2.6 Using your answers to questions 2.3 and 2.5, determine the critical value for the test for a significance level of 1% (0,01). (1) 2.7 Interpret the results in terms of the rejection or non-rejection of the null hypothesis and justify your answer. (2) 2.8 Interpret your rejection or non-rejection of the null hypothesis in plain language, in terms of the original problem statement. (2) Downloaded by Thomas Mboya () lOMoARcPSD| 3 IOP2601/ASSIGNMENT 03/SEMESTER 1/2024 TURN OVER] QUESTION 3 [12] A Unisa researcher wants to know if students’ perceptions of continuous assessment change as they progress in the semester. The researcher randomly selected five students who registered for a module that has continuous assessment and measured their perceptions at the beginning, in the middle and at the end of the semester. The scores obtained from the survey are provided in Table 2 below. Table 2 Perceptions of Continuous Assessment Scores Beginning (X1) Middle (X2) End (X3) 2 3 3 3 3 5 1 2 4 3 4 5 2 4 6 ƩX1 = 11 ƩX2 = 16 ƩX3 = 23