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Introduction To Statistics Question Paper
Introduction To Statistics
Course:Bachelor Of Science (Fashion Design & Marketing)
Institution: Kenyatta University question papers
Exam Year:2009
KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2008/2009
SECOND SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR
OF SCIENCE IN FASHION DESIGN AND MARKETING
HCR 300/HFD 301: INTRODUCTION TO STATISTICS
DATE: Friday, 11th September, 2009
TIME: 8.00 a.m. – 10.00 a.m.
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INSTRUCTIONS:
Answer ALL questions in Section A and any other TWO questions in Section B.
Section A
(30 Marks)
1.
a)
Define the following terms:-
i)
Parameter
ii)
Variable
iii)
Finite Population
(6 marks)
b)
State three common methods of summarizing data. (3 marks)
2.
Name the level of measurement of each of the following:-
i)
Males/Females
ii)
Fahrenheit Scale
iii)
Height
iv)
Time
(2 marks)
3.
a)
i)
What is meant by a grouped frequency distribution? (1 mark)
ii)
State one advantage and one disadvantage of using grouped frequency distribution. (2 marks)
b)
Differentiate between a bar graph and a histogram. (2 marks)
4.
a)
What is the mean and the median of this sample distribution?
2, 4, 7, 9, 12, 15, 17, 46, 54 (3 marks)
b)
Describe the shape of each of these distributions
i)
Mean = 50; Median = 38; Mode = 34
ii)
Mean = 12; Median = 12; Mode = 12
iii)
Mean = 16; Median = 16; Mode = 8 and 28
(1 x 3 = 3 marks)
5.
What is the range, variable, and standard deviation of this sample of scores
9, 7, 10, 14, 12, 9, 16, 13, 11, 19 (5 marks)
6.
a)
For a distribution with the mean of the population (µ) = 4.80 and the standard deviation of the population (s ) = 2.14. What is the z-score of 6? (2 marks)
b)
Given X = 100 and S = 25, what percentage of scores fall between 75 and 125? (1 mark)
Section B
(40 Marks)
Answer any TWO questions from this Section.
7.
The following is a distribution of scores from a statistics test.
Scores Frequency
29 – 31 1
26 – 28 1
23 – 25 3
20 – 22 4
17 – 19 6
14 – 16 7
11 – 13 12
8 – 10 6
5 – 7 4
2 – 4 2
n = 46
a)
Construct a frequency polygon to represent the data (5 marks)
b)
Construct a histogram using the data. (5 marks)
c)
i)
What is a Z score? (2 marks)
ii)
What is a standard normal distribution? (2 marks)
iii)
What is the relationship between the mean and the standard deviation in a standard normal distribution? (2 marks)
iv)
A normal distribution is both symmetric and asymptotic. Explain. (4 marks)
8.
a)
What is the difference between point and interval estimation? (4 marks)
b)
How is the variability of a sampling distribution affected by the sample size? (2 marks)
c)
What is the difference between a scientific and statistical hypothesis? (4 marks)
d)
In a distribution with X = 78 and S = 7 what is the probability of selecting a score between 72 and 80? (4 marks)
e)
For the following distribution, what is the percentile rank of a score of 14?
12, 13, 13, 14, 16, 18, 22. (3 marks)
f)
If a distribution has a X = 5.4 and S2 = 1.6, what would be the X and S2 if all the raw scores have 10 added to them? (3 marks)
9.
a)
Differentiate between a normal distribution and a skewed distribution (4 marks)
b)
What is the difference between measures of central tendency and measures of variability? (4 marks)
c)
i)
Why is the sample mean described as an unbiased estimate of the population mean? (2 marks)
ii)
What is meant by confidence coefficient? (2 marks)
iii)
What is meant by hypothesis testing? (2 marks)
d)
If a standardized test of reasoning has a mean of 25 and a standard deviation of 5, what is the probability that an individual selected at random will score between 20 and 30? (2 marks)
e)
A student receives a score that corresponds to a percentile rank of 80 percent.
i)
What z-score corresponds to this rank? (2 marks)
ii)
Given the information available here, can you determine the raw score? (2 marks)
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