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Microsoft Word - QUAT6211Ea_M_C19 20 XXXXXXXXXX2020 © The Independent Institute of Education (Pty) Ltd 2020 Page 1 of 15 MODULE NAME: MODULE CODE: QUANTITATIVE TECHNIQUES B QUAT6211 QUANTITATIVE...

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Microsoft Word - QUAT6211Ea_M_C19
20 XXXXXXXXXX2020
© The Independent Institute of Education (Pty) Ltd 2020
Page 1 of 15


MODULE NAME: MODULE CODE:
QUANTITATIVE TECHNIQUES B QUAT6211
QUANTITATIVE TECHNIQUES B QUAT6211p
QUANTITATIVE TECHNIQUES B QUAT6211w

ASSESSMENT TYPE: REVISED EXAMINATION-PAPER ONLY
TOTAL MARK ALLOCATION: 120 MARKS
TOTAL TIME: The time given to students to complete this assessment will be
indicated on your module in Learn.
By submitting this assessment, you acknowledge that you have read and understood all the rules as
per the terms in the registration contract, in particular the assignment and assessment rules in The
IIE Assessment Strategy and Policy (IIE009), the intellectual integrity and plagiarism rules in the
Intellectual Integrity Policy (IIE023), as well as any rules and regulations published in the student
portal.

INSTRUCTIONS:
1. Please adhere to all instructions. These instructions are different from what is normally
present, so take time to go through these carefully.
2. Independent work is required. Students are not allowed to work together on this assessment.
Any contraventions of this will be handled as per disciplinary procedures in The IIE policy.
3. No material may be copied from original sources, even if referenced co
ectly, unless it is a
direct quote indicated with quotation marks.
4. All work must be adequately and co
ectly referenced.
5. You should paraphrase (use your own words) the concepts that you are referencing, rather
than quoting directly.
6. Marks will be awarded for the quality of your paraphrasing.
7. This is an open-book assessment.
8. Assessments must be typed unless otherwise specified.
9. Ensure that you save a copy of your responses.
Additional instructions:
1. Calculators are allowed.
2. For multiple-choice questions, give only one (1) response per question. The marker will
ignore any question with more than one answer, unless otherwise stated. You should,
therefore, be sure of your answer before committing it to paper.
3. Answer ALL Questions.
4. A formulae sheet is included in this paper.
5. Show all calculations, where applicable (marks may be awarded for this).
6. Instructions for assessments including numerical calculations
7. You will only be able to submit scanned/photo of a handwritten document or Microsoft
word documents.
8. You may use Excel. If Excel is used, then all calculations must be shown in order to receive
20 XXXXXXXXXX2020
© The Independent Institute of Education (Pty) Ltd 2020
Page 2 of 15
method marks.

If you are using a Word Document:
9. Use the following to reflect your calculations:
10. Multiply – small letter x or *
11. Division / forward slash
12. Addition and subtraction + and -
13. Square roots and equations – using the function insert - equation.
14. Tables – using the function insert - table
15. Working with tables – use merge and split cell functions through right-click function.
16. Fitting tables to pages – Autofit to window/content through right-click function.
17. Layout of table – Section
eaks and landscape orientation through layout –
eaks and
layout orientation in the ri
on.
18. If you are not familiar with all the functions in word it is recommended that you rather do a
hardcopy if possible.
19. The document name must be your name.student number.Module Code.
20. Once completed the assessment, upload your document under the submission link in the
co
ect module in Learn.

XXXXXXXXXXIf you are completing a hardcopy/ by hand:
21. Ensure that all your pages are numbered on the top right-hand side of the page – e.g. 1 of
12
22. Perform your calculations as you normally would. Please work neatly so that you do not lose
marks because your lecturer cannot read your writing.
23. Either (i) Scan your pages OR (ii) photograph your pages. Ensure that the pages are in the
co
ect order.
24. Label your photographs as follows: name.student number.Module Code.Page 1; (for each
page
25. Once completed the assessment, upload your document under the submission link in the
co
ect module in Learn.




20 XXXXXXXXXX2020
© The Independent Institute of Education (Pty) Ltd 2020
Page 3 of 15
REFERENCING RUBRIC

Providing evidence based on valid and referenced academic
sources is a fundamental educational principle and the
cornerstone of high-quality academic work. Hence, The IIE
considers it essential to develop the referencing skills of our
students in our commitment to achieve high academic standards.
Part of achieving these high standards is referencing in a way that
is consistent, technically co
ect and congruent. This is not
plagiarism, which is handled differently.

Poor quality formatting in your referencing will result in a penalty
of a maximum of ten percent being deducted from the percentage
awarded, according to the following guidelines. Please note,
however, that evidence of plagiarism in the form of copied or
uncited work (not referenced), absent reference lists, or
exceptionally poor referencing, may result in action being taken in
accordance with The IIE’s Intellectual Integrity Policy (0023).
Markers are required to provide feedback to students by
indicating (circling/underlining) the information that best
describes the student’s work.

Minor technical referencing e
ors: 5% deduction from the
overall percentage – the student’s work contains five or more
e
ors listed in the minor e
ors column in the table below.

Major technical referencing e
ors: 10% deduction from the
overall percentage – the student’s work contains five or more
e
ors listed in the major e
ors column in the table below.

If both minor and major e
ors are indicated, then 10% only (and
not 5% or 15%) is deducted from the overall percentage. The
examples provided below are not exhaustive but are provided to
illustrate the e
or

Required:
Technically co
ect referencing
style
Minor e
ors in technical co
ectness of
eferencing style
Deduct 5% from percentage awarded
Major e
ors in technical co
ectness of referencing
style
Deduct 10% from percentage awarded
Consistency

• The same referencing format
has been used for all in-text
eferences and in the
ibliography
eference list.
Minor inconsistencies.
• The referencing style is generally
consistent, but there are one or two
changes in the format of in-text
eferencing and/or in the bibliography.
• For example, page numbers for direct
quotes (in-text) have been provided for
one source, but not in another
instance. Two book chapters
(bibliography) have been referenced in
the bibliography in two different
formats.
Major inconsistencies.
• Poor and inconsistent referencing style used in-
text and/or in the bibliography/ reference list.
• Multiple formats for the same type of referencing
have been used.
• For example, the format for direct quotes (in-
text) and/or book chapters (bibliography/
eference list) is different across multiple
instances.
Technical co
ectness

• Referencing format is
technically co
ect throughout
the submission.

• Position of the reference: a
eference is directly associated
with every concept or idea.

• For example, quotation marks,
page numbers, years, etc. are
applied co
ectly, sources in
the bibliography
eference list
are co
ectly presented.
Generally, technically co
ect with some
minor e
ors.
• The co
ect referencing format has
een consistently used, but there are
one or two e
ors.
• Concepts and ideas are typically
eferenced, but a reference is missing
from one small section of the work.
• Position of the references: references
are only given at the beginning or end
of every paragraph.
• For example, the student has
inco
ectly presented direct quotes (in-
text) and/or book chapters
(bibliography
eference list).


Technically inco
ect.
• The referencing format is inco
ect.
• Concepts and ideas are typically referenced, but
a reference is missing from small sections of the
work.
• Position of the references: references are only
given at the beginning or end of large sections of
work.
• For example, inco
ect author information is
provided, no year of publication is provided,
quotation marks and/or page numbers for direct
quotes missing, page numbers are provided for
paraphrased material, the inco
ect punctuation
is used (in-text); the bibliography
eference list is
not in alphabetical order, the inco
ect format for
a book chapte
journal article is used,
information is missing e.g. no place of publication
had been provided (bibliography); repeated
sources on the reference list.
Congruence between in-text
eferencing and bibliography/
eference list

• All sources are accurately
eflected and are all accurately
included in the bibliography/
eference list.
Generally, congruence between the in-
text referencing and the bibliography/
eference list with one
Answered Same Day Jun 07, 2021

Solution

Pooja answered on Jun 11 2021
161 Votes
Question 1
Q1.1)
1.1.1)
P(male)
= 145/400
= 0.3625
1.1.2)
P(Checkers and female)
= 60/400
= 0.15
1.1.3)
P(pick & pay | male)
= P(pick & pay AND male)/P(male)
= (70/400)/(145/400)
= 0.48
1.1.4)
P(male or Woolworths)
= P(male) + P(Woolworths) - P(male AND Woolworths)
= (145/400)+(150/400)-(25/400)
= 0.675
1.1.5)
P(not Woolworths)
= 1-P(Woolworths)
= 1-150/400
= 0.625
Q 1.2)
P(Male | B.com)
= P(Male AND B.com) / P(B. Com)
= 0.25/0.85
= 0.294118
Q 1.3)
Question 2
Q2.1)
z = (X-mean)/(sd)    
z1 = (118-115)/12.5) =    0.2400
z2 = (124-115)/12.5) =    0.7200
    
hence,    
P(118 < X < 124)
= P(X<124) - P(X<118)
= P(Z<0.72) - P(Z<0.24)
= NORMSDIST(0.72) - NORMSDIST(0.24)
= 0.1694
There is 16.94% chance that a randomly selected person will obtain a score between 118 and 124.
Q2.2)
P(X=x) = nCx * p^x * q^(n-x)    
P = 0.10
n = 13
2.2.1)
P(X<=2)
= BINOM.DIST(2,13,0.1,TRUE)
= 0.8661
There is 86.61% chance that No more than two of the visitors will purchase cigarettes
2.2.2)
P(X>3)
= 1-P(X<=3)
= 1-BINOM.DIST(3,13,0.1,TRUE)
= 0.0342
There is 3.42% chance that more than three of the visitors will purchase cigarettes.
Question 3
3.1.1)
SE = SD(Xbar)
= SD(X)/sqrt(n)
= 20/SQRT(115)
= 1.865
3.1.2)
I know that, z = (X-mean)/(sd)    
z1 = (118-120)/1.865) =    -1.0724
z2 = (121.5-120)/1.865) = 0.8043
    
hence,    
P(118 < X < 121.5)
= P(X<121.5) - P(X<118)
= P(Z<0.8043) - P(Z<-1.0724)
= NORMSDIST(0.8043) - NORMSDIST(-1.0724)
= 0.6476
There is 64.76% chance that the mean weight of the oranges in the sample lies between 118g and 121.5g.
Question 4
4.1)
X = 115    
n = 135    
p-hat = X/n = 0.852 = 115/135
z(a/2) = z(0.01/2) = 2.576
CI = p +- z(a/2)*sqrt(p*(1-p)/n)        
lower = 0.852-2.576*SQRT(0.852*(1-0.852)/135) = 0.773
upper =0.852+2.576*SQRT(0.852*(1-0.852)/135) = 0.931
I am 99% confident that the estimated true proportion of all employees of...
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