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HSS511S - HEALTH SCIENCE STATISTICS - 2ND OPP - JULY 2023 |
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nAmlBIA UnlVERSITY
OF SCIEnCE Ano TECHnOLOGY
FACULTYOF HEALTH,APPLIEDSCIENCESAND NATURAL RESOURCES
SCHOOLOF HEALTHSCIENCES
DEPARTMENT OF CLINICALHEALTHSCIENCES
QUALIFICATION: BACHELOR OF HUMAN NUTRITION ,BACHELOR OF HEALTH INFORMATION SYSTEM,
BACHELOR OF ENVIRONMENTAL SCIENCES, BACHELOR OF BIOMEDICAL SCIENCES
QUALIFICATION CODE: 07BHIS, 07BSHM,
08BMLS, 08BOHN,08BOHS
NQF LEVEL: 5
COURSE NAME: HEALTH SCIENCESTATISTICS COURSE CODE: HSS511S
SESSION: JULY 2023
PAPER: THEORY
DURATION: 3 HOURS
MARKS: 100
SECONDOPPORTUNITY/SUPPLEMENTARYEXAMINATION QUESTION PAPER
EXAMINER
MR JJSWARTZ AND MR SP KASHIHALWA
MODERATOR: DR L AKU-AKAI
INSTRUCTIONS
1. Answer ALL the questions in the booklet provided.
2. Show clearly all the steps used in the calculations.
3. All written work must be done in blue or black ink and sketches must
be done in pencil.
PERMISSIBLEMATERIALS
1. Non-programmable calculator without a cover.
THIS QUESTION PAPER CONSISTS OF 5 PAGES (Including this front page).
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QUESTION 1 [20 MARKS]
Write down the letter corresponding to the best answer for each question.
1.1 If event C and event D mutually exclusive and collectively exhaustive, what is the
P(C n D) time?
[2]
A. 0.00
B. a.so
C. 1.00
D. 1.01
1.2 Student number, area code and car registration are example of:
[2]
A. Qualitative and quantitative.
B. Mixed data.
C. Qualitative data.
D. Continuous data.
1.3 Which of the following is the same as quartile 2
[2]
A. Mode
B. Centra I measure of tendency
C.IQR
D. Median
1.4 If the probability of experiencing adverse event after COVID-19 vaccine is 0.2. What is
the probability of not experiencing adverse event?
[2]
A. 0.08
B. 0.8
C. 0.2
D. Cannot be determined
1.5 The mode of a data set is:
[2]
A. Unique
B. Not affected by outliers
C. Can be several
D. B&C
1.6 A patient is chosen at random from a group of 5 who suffer from diabetes and 20
who suffer from cancer. What is the probability that the patient chosen suffer from
diabetes?
[2]
A. 0.8
B. 0.20
C. 0.50
0.0
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1.7 Which of the following is a measure of central tendency:
[2]
A. Mean
B. Variance
C. Range
D.A&C
1.8 A proportion of a population is:
[2]
A. Sample
B. Mean and Mode
c. Subset
D. Parameter
1.9 The more data are spread out the greater the:
[2]
A. Mean, Mode and range
B. Range, Standard deviation and Variance
C. Mean, Mode and Variance
D. B&C
1.10 Which of the following is used to present both qualitative and quantitative data: [2]
A. Summary table
B. Frequency polygon
C. Bar chart and pie chart
D. Frequency probability table
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QUESTION 2 (26 MARKS)
2.1 Consider a survey of CEOs' opinions of their social welfare. What types of variables are
the following (Indicates if they are qualitative or quantitative and if they are continuous
or discrete):
a) Marital Status
(1)
b) Education level
(1)
c) Annual bonus
(2)
d) Number of annual report submitted to the board
(1)
e) Body mass of the CEO
[2]
f) Possession of a degree
(1)
2.2 The age (in years) of a sample of 20 motor cyclists killed in road traffic accidents is given
below.
18 41 24 28 71 52 15 20 21 31 16 24 33 44 20 24 16 64 24 32
2.2.1 Draw a stem and leaf
[5]
2.2.2 Calculate the mean, range, median and mode
(8)
2.2.2 Compute the variation and standard deviation
[5]
Question 3 (26 MARKS]
3.1 The Ministry of Health and Social Services gets 40% of it is Beta bloc from a manufacturer
in South Africa and the remainder from a manufacturer in Lesotho. The quality of the Beta
bloc delivered is given below.
Manufactures
South Africa
Lesotho
% Of non-defective Beta Bloc % of defective Beta Bloc
90
10
75
25
3.1.1 Find the probability of receiving a non-defective Beta bloc
(8)
3.1.2 Find the probability that a randomly chosen Beta bloc comes from a Manufacturer in
Lesotho and it is non- defective
(3)
3.2 The blood group of 55 women diagnosed as suffering from thromboembolic disease and 145
healthy women are displayed below, use WT = women with thromboembolic, HW =
Heatlh .vwomen
Blood Group
Women with thromboembolic
disease
Healthy women
Total
A
32
51
83
B
8
19
27
AB
6
5
11
0
9
70
79
Total
55
145
200
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3.2.1 Show that blood group A and women with thromboembolic are independent or not
[3]
3.2.2 Find P(AB U HW)
[4]
3.2.3 Find P(O /WT)
[4]
3.2.4 Find P(B/WT)
[4]
Question 4[28 MARKS]
4.1 20 pregnant women, with dystocia, were allocated at random to receive immersion in
water in a birth pool to assess the impact of laboring in water during the first stage of
labour. The main outcome was "use of Epidural analgesia at any stage of labour". 5 of the
pregnant women used Epidural analgesia. If a pregnant women is selected at random,
what is the probability of?
4.1.1 Exactly_two pregnant women have used Epidural analgesia
[2]
4.1.2 At most two pregnant women have used Epidural analgesia
[4]
4.1.3 At least four women have used Epidural analgesia
[4]
4.1.4 None of the pregnant women have used Epidural analgesia
[2]
4.1.5 At least one women have used Epidural analgesia
[3]
4.2 In a group of patients presented to a hospital casualty department with lntracranial
Hem atom a (IH), investigation revealed that most of the patients suffer IH 3 times per year
on average.
4.2.1 What is the probability that in a group of patients, at least two patient presented to
casualty suffers from IH
[5]
4.2.2 What is the probability that one patient presented to casualty suffers from IH [2]
4.2.3 What is the probability that at most 3 patients presented to casualty suffers from IH[6]
END
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