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STAT-101 Assignment-5 | Complete Solution

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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       a = 5%

                         n1

      n2          

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

 

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