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HSS511S - HEALTH SCIENCE STATISTICS - 1ST OPP - JUNE 2023 |
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nAmlBIA untVERSITY
OF SCIEnCE Ano TECHnOLOGY
FACULTYOF HEALTH,APPLIEDSCIENCESAND NATURALRESOURCES
SCHOOLOF HEALTHSCIENCES
DEPARTMENTOF CLINICALHEALTHSCIENCES
QUALIFICATION: BACHELOR OF HUMAN NUTRITION ,BACHELOR OF HEALTH INFORMATION SYSTEMS
MANAGEMENT, BACHELOR OF ENVIRONMENTAL SCIENCES, BACHELOR OF BIOMEDICAL SCIENCES
QUALIFICATION CODE: 07BHIS, 07BSHM,
08BMLS, 08BOHN,08BOHS
NQF LEVEL: 5
COURSE NAME: HEALTH SCIENCESTATISTICS COURSE CODE: HSSSllS
SESSION: JUNE 2023
PAPER: THEORY
DURATION: 3 HOURS
MARKS: 100
EXAMINER
FIRSTOPPORTUNITY EXAMINATION QUESTION PAPER
MR JJ SWARTZ AND MR SP KASHIHALWA
MODERATOR: DR L AKU-AKAI
INSTRUCTIONS
l. 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 A and event Bare mutually exclusive and collectively exhaustive, what is the
P(A u B) time?
(2)
A. 0.10
B. 0.50
C. 1.00
D. 1.01
1.2 A stem and leaf plot allows you to:
[2]
A. Detect difference between qualitative and quantitative.
B. Detect distributional pattern of the data.
C. Remove outliers.
D. Positively skewed.
1.3 Which of the following is the same as the median
[2]
A. Mode
B. Central measure of tendency
C.Qz
D. Mediane
1.4 If the probability of experiencing adverse event after COVID-19 vaccine is 0.2. What
type of probability distribution can be used to find that the next 12 vaccinated
individual will have no adverse event?
[2]
A. Uniform distribution
B. Binomial distribution
C. Poisson distribution
D. Normal distribution
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1.5 The amount or degree of spread is known as:
[2]
A. Variety
B. Mid-spread
C. Variation
D. Variable
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
cancer?
A. 0.8
B. 0.20
c. a.so
[2]
D.O
1.7 The measure of dispersion will never be:
[2]
A. Zero
B. Negative
C. Spread out
D. Equal to 50%
1.8 Measures of dispersion include:
[2]
A. mean, range and skewness
B. mean, median, mode and range
C. range, variance and standard deviation
D. mean, median, mode and variance
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 a measure of dispersion:
[2]
A. Average
B. Range
C. Median
D. Variance
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QUESTION 2 [26 MARKS)
2.1 Consider a survey of nurses' opinions of their working conditions. What types of
variables are (Indicates if they are qualitative or quantitative and if they are continuous
or discrete):
a) Length of service
[2]
b) Staff grade
[1]
c) Age
[2]
d) Salary
[2]
e) Number of patients seen in a day
[1]
f) Possession of a degree
[1]
2.2 The following data gives the number of COVID-19 cases detected in the 11 regions.
40125 I 25 I 25 I 26 I 28 I 29 I 50 I 50 I
2.2.1 Calculate the average, median and mode and interpret your answer
(7]
2.2.2 Compute the variation and standard deviation
[5]
2.2.3 Construct an ordered stem and leaf for the number of COVID-19 cases
[5]
Question 3 [26 MARKS)
3.1 The Ministry of Health and Social Services gets 60% of it is COVID-19 vaccines from a
manufacturer in China and the remainder from a manufacturer in Russia. The quality of the
COVID-19 delivered is given below.
Manufactures
China
Russia
% Of non-defective vaccines % of defective vaccines
97
3
93
7
3.1.1 Find the probability of receiving a defective vaccine
[8]
3.1.2 Find the probability that a randomly chosen vaccine comes from a Manufacturer in
China and it is defective
[3]
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3.2 Suppose 100 General practitioner were asked whether they are in favour of or against taking
= = COVID-19 booster shot. The table below summarised their opinion: Use M Male, F
Female,/= In - favour,A = against
Male
Female
Total
In-favour
Against
15
4
19
Total
45
60
36
40
81
100
3.2.1 Show that event female and in-favour are independent or not
[3J
3.2.2 Find P(in - favour/Male)
[4J
3.2.3 Find P(in - favour u Male)
[4J
3.2.4 Find P(against/female)
[4J
Question 4(28 MARKS]
4.1 A Clinician is interested in detecting COVID-19 vaccines adverse event, the Clinician observed 20
people to have adverse event in a total of 100 people observed. If the clinician observed 12
vaccinated people today, what is the probability of:
4.1.1 Observing no adverse event
[2J
4.1.2 Observing at most two adverse events
[4J
4.1.3 Observing at least four adverse event
[4J
4.1.4 Observing exactly two adverse event
[2J
4.1.5 Find the average number of adverse event
[2J
4.2 A dietician knows that an individual suffering from malnutrition is assumed to have an average of
three balanced meals per day
4.2.1 What is the probability that an individual suffering from malnutrition receive no balanced
meals per day
[2J
4.2.2 What is the probability that an individual suffering from malnutrition receive at least 3 meals
per day
[SJ
4.2.3 What is the probabilities that an individual suffering from malnutrition receive at least 2
meals per day
[SJ
4.2.4 What is the probability that an individual suffering from malnutrition receive 1 meal per day [2J
END
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