Part1 Q1. Classify each of the following as- (i) quali.docx

Part1
Q1. Classify each of the following as:-
(i) qualitative or quantitative
(ii) nominal, ordinal, interval or ratio scale.
a. Times for swimmers to complete a 50meters race.
b. Months of the year: Meskerem, Tikimit, Hidat, ---.
c. Region numbers of Riyadh: 1, 2, 3, 4, ---.
d. Pollen counts provided as numbers between 1 and 10 where 1
means there is almost no pollen and 10 means that it is rampant,
but for which the values do not represent an actual count of
grains of pollen.
e. Packages in the city of Cleveland telephone book.
f. Rankings of tennis players.
g. Weights of air conditioners.
h. Personal ID numbers
i. Telephone numbers
j. Temperatures inside 10 refrigerators.
k. Salaries of the top five CEOs in the United States.
l. Ratings of eight local plays ( poor, fair, good, excellent)
m. Times required for mechanics to do a tune up.
n. Ages of students in a classroom.
o. Marital Status of patients in a physician’s office.
p. Horsepower of tractor engines.
q. Colors of baseball caps in a store.
r. Classification of kids at a day care (infant, toddler, pre-
school)
Q2. The following are the grades which 40 students obtained in
a certain course in 1997E.C. here in Mekelle University of the
Arid Campus.
75 89 66 52 90 68 83 94 77 60 38 47 87 65 97 49 65
72 73 81 63 77 31 88 74 37 85 76 74 63 69 72 91 87

76 58 63 70 72 65
a. Construct an absolute frequency distribution.
b. Convert the distribution obtained in (a) into a Relative &
Percentage distribution.
c. Convert the distribution in (a) into a “Less than” &
a “More than” cumulative distribution
d. Construct a histogram, frequency polygon and ogive curve
Q3. The following distribution shows that the result obtained by
100 accounting students in the final examination of statistics in
Saudi Electronic University.
Mark of students.
0-10
10-20
20-30
30-40
40-50
No. of students
14
f1
28
f2

15
If the median mark of students is 22.5, compute:-
i. The missing frequencies, f1 and f2.
ii. the mode, and
iii. the arithmetic mean
iv. variance
Part 2
Q1.a. (Smoking and Coffee Drinking)
Coffee
No Coffee
Total
Smoker
60
40
100
Non-Smoker
115
85
200
Total
175
125
300
What is the probability that a randomly selected person from the
sample either smokes or drinks coffee.
Q1. b. What is the probability that I flip a coin and get a Head,
Roll a die and get a 4 or a 6, and then pull the king of Spades
and a diamond from a deck of cards.
Q2: The random variable X has the following probability
distribution:

X
0
1
2
3
Total
P(x)
0.22
0.38
0.1
0.3
1
Find the expected value (E(x)) & the Variance.
Q3: A radar unit is used to measure speeds of cars on a
highway. The speeds are normally distributed with a mean of 90
km/hr and a standard deviation of 10 km/hr. What is the
probability that a car picked at random is travelling at:
a- More than 100 km/hr?
b- Less than 85 Km/hr?
c- Between them?
Part 3
Q-1. In a random sample consisting of 60 students of a college,
2 were smokers. In a random sample consisting of 17 lecturers
of the college, 5 were smokers. Test at 5% level of significance
that the proportion of smokers among the students is the same
as that among lecturers.
Q-2.The following data shows the score of 12 students for
Accounting and Statistics

examinations.
a) Calculate a simple correlation coefficient
b) Fit a regression equation of Statistics on Accounting using
least square estimates.
c) Predict the score of Statistics if the score of accounting is 85.
Accounting
X
Statistics
Y
1
74.00
81.00
2
93.00
86.00
3
55.00
67.00
4
41.00
35.00
5
23.00
30.00
6
92.00
100.00
7
64.00
55.00
8
40.00

52.00
9
71.00
76.00
10
33.00
24.00
11
30.00
48.00
12
71.00
87.00
Q3. Calculate the simple correlation between mid semester and
final exam scores of 10 students (both out of 50)
Student
Mid Sem.Exam
(X)
Final Sem.Exam
(Y)
1
31
31
2
23
29
3
41
34
4
32
35
5
29

25
6
33
35
7
28
33
8
31
42
9
31
31
10
33
34
Part 4
Q1. Random samples of 200 men, all retired were classified
according to education and number of children is as shown
below
Education level
Number of children
0-1
2-3
Over 3
Elementary
14
37
32

Secondary and above
31
59
27
Test the hypothesis that the size of the family is independent of
the level of education attained by fathers. (Use 5% level of
significance)
Q2. Random sample of 180 staff from the whole workforce of
the supermarket chain.
Male
Female
Supervisor
20
15
Shelf stacker
20
30
Till operator
10
35
Cleaner
10
40
Test for association between a member of staff's job and his/her
gender at the 5% significance level.
Q3. One important factor in selecting software for word
processing and database management systems is the time
required to learn how to use a particular system. In order to
evaluate three database management systems, a firm devised a

test to see how many training hours were needed for five of its
word processing operators to become proficient in each of three
systems.
System A 16 19 14 13 18 hours
System B 16 17 13 12 17 hours
System C 24 22 19 18 22 hours
Using a 5% significance level, is there any difference between
the training time needed for the three systems?
PERCENTAGE POINTS OF THE F DISTRIBUTION =
5%
1
2
Numerator degrees of freedom
1
2
3
4
5
6
7
8

9
Denominator degrees of freedom
1
161.40
199.50
215.70
224.60
230.20
234.00
236.80
238.90
240.50
2
18.51
19.00
19.16
19.25
19.30
19.33
19.35
19.37
19.38
3
10.13
9.55
9.28
9.12
9.01
8.94
8.89
8.85
8081
4

7.71
6.94
6.56
6.39
6.26
6.16
6.09
6.04
6.00
5
6.61
5.79
5.41
5.19
5.05
4.95
4.88
4.82
4.77
6
5.99
5.14
4.76
4.53
4.39
4.28
4.21
4.15
4.10
7
5.59
4.74
4.35

4.12
3.97
3.87
3.79
3.73
3.68
8
5.32
4.46
4.07
3.84
3.69
3.58
3.50
3.44
3.39
9
5.12
4.26
3.86
3.63
3.48
3.37
3.29
3.23
3.18
10
4.96
4.10
3.71
3.48
3.33
3.22

3.14
3.07
3.02
11
4.84
3.98
3.59
3.36
3.20
3.09
3.01
2.95
2.90
12
4.75
3.89
3.49
3.26
3.11
3.00
2.91
2.85
2.80
13
4.67
3.81
3.41
3.18
3.03
2.92
2.83
2.77
2.71

14
4.60
3.74
3.34
3.11
2.96
2.85
2.76
2.70
2.65
15
4.54
3.68
3.29
3.06
2.90
2.79
2.71
2.64
2.59
16
4.49
3.63
3.24
3.01
2.85
2.74
2.66
2.59
2.54
17
4.45

3.59
3.20
2.96
2.81
2.70
2.61
2.55
2.49
18
4.41
3.55
3.16
2.93
2.77
2.66
2.58
2.51
2.46
19
4.38
3.52
3.13
2.90
2.74
2.63
2.54
2.48
2.42
20
4.35
3.49
3.10
2.87

2.71
2.60
2.51
2.45
2.39
21
4.32
3.47
3.07
2.84
2.68
2.57
2.49
2.42
2.37
22
4.30
3.44
3.05
2.82
2.66
2.55
2.46
2.40
2.34
23
4.28
3.42
3.03
2.80
2.64
2.53
2.44

2.37
2.32
24
4.26
3.40
3.01
2.78
2.62
2.51
2.42
2.36
2.30
25
4.24
3.39
2.99
2.76
2.60
2.49
2.40
2.34
2.28
26
4.23
3.37
2.98
2.74
2.59
2.47
2.39
2.32
2.27

27
4.21
3.35
2.96
2.73
2.57
2.46
2.37
2.31
2.25
28
4.20
3.34
2.95
2.71
2.56
2.45
2.36
2.29
2.24
29
4.18
3.33
2.93
2.70
2.55
2.43
2.35
2.28
2.22
30
4.17
3.32

2.92
2.69
2.53
2.42
2.33
2.27
2.21
40
4.08
3.23
2.84
2.61
2.45
2.34
2.25
2.18
2.12
60
4.00
3.15
2.76
2.53
2.37
2.25
2.17
2.10
2.04
120
3.92
3.07
2.68
2.45
2.29

2.17
2.09
2.02
1.96
3.84
3.00
2.60
2.37
2.21
2.10
2.01
1.94
1.88
With explanations on how it was answered

Part1 Q1. Classify each of the following as- (i) quali.docx

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Part1 Q1. Classify each of the following as- (i) quali.docx