University of Pretoria
Faculty of Economic and Management Sciences
Department of Statistics
Statistics 110 (STK110)
Examination: 27 June 2022
Time to write: 160 minutes Total: 84 Marks
Time to transfer: 20 minutes
Internal Examiners: Ms AD Corbett External Examiner: Dr J Kleyn
Mr L Magagula
Dr F Reyneke
Ms A van der Merwe
Initials & Surname:
Student number:
Venue:
Instructions:
Answer all questions.
Complete all your workings on this paper in the space provided and write the final answer in the
space provided.
When applicable, please round off to four (4) decimals places, unless stated otherwise. Only
round off at final answers – not between steps.
Find the formulae sheet and tables on pages 17 - 20.
Do not separate any pages.
This paper consists of 20 pages, 55 questions.
All exam rules apply.
Final answer sheet instructions:
Final answers ONLY should be transferred to the final answer sheet provided – neat and clear
without any correction.
ONLY the final answer sheet will be marked.
It is your responsibility to ensure that ALL your answers are transferred and readable.
Answers written outside the space provided will not be marked.
Ensure that you submit both documents, i.e. this paper as well as the final answer sheet. If any
of the documents are missing, you will get zero for the Examination.
Copyright: All rights reserved.
, TEST AND EXAMINATION INSTRUCTIONS
1. Students are obliged to identify themselves positively by means of a valid student card when writing a test or examination. No access to the test or
examination venue will be allowed without a valid student card.
2. No person may pretend to be a registered student and/or write a test or examination on behalf of a student.
3. No student may enter the test or examination venue later than half an hour after commencement of a test or examination session. No student may
leave the test or examination venue earlier than half an hour after commencement of a test or examination session. In the case of computer-based
assessment, a student may not enter the venue after the punctual commencement of the test or examination session.
4. Students must obey all the instructions given by an invigilator immediately and strictly.
5. Except as indicated in paragraph 6, students may not bring into the test or examination venue or have in their possession any of the following:
bags (satchels)
handbags
pencil cases or bags
unauthorised apparatus
books
electronic means of communication or similar devices
cellular phone watches (smart watches) or cellular phones (cellular phones may not be used as a substitute for calculators)
any piece of paper, no matter how small
notes of any nature whatsoever.
Mere possession of any of the aforementioned, irrespective of whether the student acted intentionally or negligently or innocently, is regarded as a
serious transgression of the rules and subsequently as serious academic misconduct. It remains the student’s responsibility to verify, prior to the
commencement of a test or examination, that none of the aforementioned items are in his or her possession.
6. Satchels (book bags) and handbags may be kept with a student, provided that such bags are closed and placed under the student’s chair. All books
and study material must be stowed away in the closed bag. The student may not open or handle such bag at all during the test or examination
session. If study material and/or notes (belonging to a student), are found under the seat or desk, or are visible to the student to such an extent that
they could possibly assist the student, such student shall be regarded as being in possession of prohibited, unauthorised material. Electronic devices
such as cell phones and tablets must be switched off and placed inside the bag, which is to be closed and to be kept under the student’s chair. In the
absence of a bag a student must switch off his or her cell phone or tablet or any other device and place it on the floor under his/her chair and out of
the student’s line of sight. These devices may not be kept on the person of the student and may not be switched on or handled by the student during
the test or examination session.
7. Students are responsible for providing their own writing materials, apparatus and stationery in accordance with the requirements and specifications
or instructions set by the lecturer concerned. Mutual exchange of such items will not be allowed.
8. Wearing of caps, hats or beanies during examinations and tests is prohibited and students may be requested to remove such headgear. An exception
is made in the case of religious headgear.
9. It is important that the surname, full names and signature of the student are provided in the relevant space on the test or examination answer script.
If so preferred by the student, this information may be treated as confidential by folding and sealing the top portion of the examination or test answer
script. The covered portion may only be opened by the examiner if the student number is incorrect or illegible. All scripts must be completed in
indelible ink. Scripts completed in pencil or erasable ink will not be marked and the writer (student) will not qualify for an additional evaluation
opportunity (test/examination).
10. Once the invigilator has announced the commencement of the test or examination, all conversation or any other form of communication between
students must cease. During the course of the test or examination no communication of any nature whatsoever may take place between students.
11. No student may assist or attempt to assist another student, or obtain help, or attempt to obtain help from another student during a test or examination.
12. Students may not act dishonestly in any way whatsoever. Dishonest conduct includes, but is not limited to:
dishonesty with regard to any assessment, whether it be a test or an examination, or with regard to the completion and/or submission of any
other academic task or assignment;
plagiarism (using the work of others as though it is your own without acknowledging the source);
the submission of work by a student with a view to assessment when the work in question is that of someone else either in full or in part, or where
it is the result of collusion between the student and another person or persons. The exception is group work as determined by the lecturer
concerned.
13. Writing on any paper other than that provided for test or examination purposes is strictly prohibited. Students may also not write on the test or
examination paper, except in the case of fill-in and multiple-choice question papers.
14. Rough work should be done in the test or examination answer script and then crossed out. No pages may be removed from the test or examination
answer script.
15. Smoking is not permitted in the test or examination venue, and students will also not be permitted to leave the venue during the test or examination
for this purpose.
16. Only in exceptional circumstances will a student be given permission to leave the test or examination venue temporarily, and then only under the
supervision of an invigilator.
17. Students may not take used or unused answer scripts from the test or examination venue.
18. As soon as the invigilator announces during a test or examination that the time has expired, students should stop writing immediately. In the case of
computer-based assessment students are automatically stopped from working on the computer when the login time expires.
19. Students may bring their own watches to the test/examination venue, but smart watches will not be allowed.
Please note: Students should take note that, if found guilty of academic misconduct or non-compliance with these rules, a student could, among other
penalties, forfeit his/her credits for a module and/or be suspended from the University for a period that could range from one year to permanent suspension.
Such a student’s record will be blocked for the period of suspension and he/she will not be entitled to a certificate of good conduct from the University during
this period. Students should also take note that, if found guilty of academic misconduct, it may negatively influence their admission to other universities and/or
registration with professional councils. Academic misconduct is indicated on all certificates of conduct provided to students by the University.
Copyright: All rights reserved.
, The theme of this paper is student life. Some results may be considered fictitious.
Questions 1 to 5 are based on the following information:
The time (in hours) to study for a class test, 𝑥, and the mark (out of 30) obtained for the class test, 𝑦, is to be
investigated. A random sample of size 𝑛 = 10 is drawn and the results are summarised in the Excel output
below.
Formula sheet
Value sheet
1. The data type of class test mark is: (0.5)
Final answer Q1:
2. Consider observation 1 to complete the sentence below, using only the letters of the options given,
when relevant:
The time 4.1 hours is (Q2.1) _____________ standard deviations (Q2.2) _____________(below A;
above B; equal to C) the mean. (1)
Calculations in the block below: Final answer Q2.1:
Final answer Q2.2:
one letter only
Copyright: All rights reserved.
Faculty of Economic and Management Sciences
Department of Statistics
Statistics 110 (STK110)
Examination: 27 June 2022
Time to write: 160 minutes Total: 84 Marks
Time to transfer: 20 minutes
Internal Examiners: Ms AD Corbett External Examiner: Dr J Kleyn
Mr L Magagula
Dr F Reyneke
Ms A van der Merwe
Initials & Surname:
Student number:
Venue:
Instructions:
Answer all questions.
Complete all your workings on this paper in the space provided and write the final answer in the
space provided.
When applicable, please round off to four (4) decimals places, unless stated otherwise. Only
round off at final answers – not between steps.
Find the formulae sheet and tables on pages 17 - 20.
Do not separate any pages.
This paper consists of 20 pages, 55 questions.
All exam rules apply.
Final answer sheet instructions:
Final answers ONLY should be transferred to the final answer sheet provided – neat and clear
without any correction.
ONLY the final answer sheet will be marked.
It is your responsibility to ensure that ALL your answers are transferred and readable.
Answers written outside the space provided will not be marked.
Ensure that you submit both documents, i.e. this paper as well as the final answer sheet. If any
of the documents are missing, you will get zero for the Examination.
Copyright: All rights reserved.
, TEST AND EXAMINATION INSTRUCTIONS
1. Students are obliged to identify themselves positively by means of a valid student card when writing a test or examination. No access to the test or
examination venue will be allowed without a valid student card.
2. No person may pretend to be a registered student and/or write a test or examination on behalf of a student.
3. No student may enter the test or examination venue later than half an hour after commencement of a test or examination session. No student may
leave the test or examination venue earlier than half an hour after commencement of a test or examination session. In the case of computer-based
assessment, a student may not enter the venue after the punctual commencement of the test or examination session.
4. Students must obey all the instructions given by an invigilator immediately and strictly.
5. Except as indicated in paragraph 6, students may not bring into the test or examination venue or have in their possession any of the following:
bags (satchels)
handbags
pencil cases or bags
unauthorised apparatus
books
electronic means of communication or similar devices
cellular phone watches (smart watches) or cellular phones (cellular phones may not be used as a substitute for calculators)
any piece of paper, no matter how small
notes of any nature whatsoever.
Mere possession of any of the aforementioned, irrespective of whether the student acted intentionally or negligently or innocently, is regarded as a
serious transgression of the rules and subsequently as serious academic misconduct. It remains the student’s responsibility to verify, prior to the
commencement of a test or examination, that none of the aforementioned items are in his or her possession.
6. Satchels (book bags) and handbags may be kept with a student, provided that such bags are closed and placed under the student’s chair. All books
and study material must be stowed away in the closed bag. The student may not open or handle such bag at all during the test or examination
session. If study material and/or notes (belonging to a student), are found under the seat or desk, or are visible to the student to such an extent that
they could possibly assist the student, such student shall be regarded as being in possession of prohibited, unauthorised material. Electronic devices
such as cell phones and tablets must be switched off and placed inside the bag, which is to be closed and to be kept under the student’s chair. In the
absence of a bag a student must switch off his or her cell phone or tablet or any other device and place it on the floor under his/her chair and out of
the student’s line of sight. These devices may not be kept on the person of the student and may not be switched on or handled by the student during
the test or examination session.
7. Students are responsible for providing their own writing materials, apparatus and stationery in accordance with the requirements and specifications
or instructions set by the lecturer concerned. Mutual exchange of such items will not be allowed.
8. Wearing of caps, hats or beanies during examinations and tests is prohibited and students may be requested to remove such headgear. An exception
is made in the case of religious headgear.
9. It is important that the surname, full names and signature of the student are provided in the relevant space on the test or examination answer script.
If so preferred by the student, this information may be treated as confidential by folding and sealing the top portion of the examination or test answer
script. The covered portion may only be opened by the examiner if the student number is incorrect or illegible. All scripts must be completed in
indelible ink. Scripts completed in pencil or erasable ink will not be marked and the writer (student) will not qualify for an additional evaluation
opportunity (test/examination).
10. Once the invigilator has announced the commencement of the test or examination, all conversation or any other form of communication between
students must cease. During the course of the test or examination no communication of any nature whatsoever may take place between students.
11. No student may assist or attempt to assist another student, or obtain help, or attempt to obtain help from another student during a test or examination.
12. Students may not act dishonestly in any way whatsoever. Dishonest conduct includes, but is not limited to:
dishonesty with regard to any assessment, whether it be a test or an examination, or with regard to the completion and/or submission of any
other academic task or assignment;
plagiarism (using the work of others as though it is your own without acknowledging the source);
the submission of work by a student with a view to assessment when the work in question is that of someone else either in full or in part, or where
it is the result of collusion between the student and another person or persons. The exception is group work as determined by the lecturer
concerned.
13. Writing on any paper other than that provided for test or examination purposes is strictly prohibited. Students may also not write on the test or
examination paper, except in the case of fill-in and multiple-choice question papers.
14. Rough work should be done in the test or examination answer script and then crossed out. No pages may be removed from the test or examination
answer script.
15. Smoking is not permitted in the test or examination venue, and students will also not be permitted to leave the venue during the test or examination
for this purpose.
16. Only in exceptional circumstances will a student be given permission to leave the test or examination venue temporarily, and then only under the
supervision of an invigilator.
17. Students may not take used or unused answer scripts from the test or examination venue.
18. As soon as the invigilator announces during a test or examination that the time has expired, students should stop writing immediately. In the case of
computer-based assessment students are automatically stopped from working on the computer when the login time expires.
19. Students may bring their own watches to the test/examination venue, but smart watches will not be allowed.
Please note: Students should take note that, if found guilty of academic misconduct or non-compliance with these rules, a student could, among other
penalties, forfeit his/her credits for a module and/or be suspended from the University for a period that could range from one year to permanent suspension.
Such a student’s record will be blocked for the period of suspension and he/she will not be entitled to a certificate of good conduct from the University during
this period. Students should also take note that, if found guilty of academic misconduct, it may negatively influence their admission to other universities and/or
registration with professional councils. Academic misconduct is indicated on all certificates of conduct provided to students by the University.
Copyright: All rights reserved.
, The theme of this paper is student life. Some results may be considered fictitious.
Questions 1 to 5 are based on the following information:
The time (in hours) to study for a class test, 𝑥, and the mark (out of 30) obtained for the class test, 𝑦, is to be
investigated. A random sample of size 𝑛 = 10 is drawn and the results are summarised in the Excel output
below.
Formula sheet
Value sheet
1. The data type of class test mark is: (0.5)
Final answer Q1:
2. Consider observation 1 to complete the sentence below, using only the letters of the options given,
when relevant:
The time 4.1 hours is (Q2.1) _____________ standard deviations (Q2.2) _____________(below A;
above B; equal to C) the mean. (1)
Calculations in the block below: Final answer Q2.1:
Final answer Q2.2:
one letter only
Copyright: All rights reserved.
