BUSINESS STATISTICS

Business Statistics



Business Statistics

QUESTION 1

(a) What type of survey method the researcher could use and why?

The best suited survey method for collecting the data set critics of television complain is questionnaires and interviews. The questionnaires are the most appropriate survey method of collecting the precise response from the target population. The interviews survey method can also be utilized to collect the perception of respondents about the critics of television complain.

(b) What sampling method could the researcher use to select his/her sample and why?

The researcher can select the simple random sampling method as it is ultimate aim of the study to ensure the equal number of chances for all the variables to be selected in the study. Moreover the random sampling method has also been adopted so that the probability of getting the unbiased results can be ensured. As the study is based on the analysis of the critics of television complain different variables would be selected for analysing the topic. As the random sampling method ensures the reliable and unbiased results, the study will therefore make use of the random sampling method by taking into account different variables.

(c) What are the variables the researcher should consider collecting data for the purpose of the analysis and why? Identify the data type(s) for the variables.

The following variables are chosen for this research study:

Violence

Obesity

Debt

The data types of all the above selected variables are numerical. These are numeric variables whose values represent a category or identify a group of belonging. This type of variable only allows establishing relations of equality/inequality between the elements of the variable.

(d) What kind of issues the researcher may face in this data collection?

The major problem of approaching the potential respondents for the research study.

QUESTION 2

(a) He suggests using 10 classes such as class intervals 0-6, 6-12, 12-18, .... for one variable and class intervals 0-30000, 30000-60000, 60000-90000, .... , for the other variable. Explain how he could have decided on the number of classes as 10 and the above class intervals.

Television

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

6.00 - 10.78

6

1.4

1.4

1.4

10.79 - 16.56

35

8.1

8.1

9.5

16.57 - 22.33

57

13.3

13.3

22.8

22.34 - 28.11

86

20.0

20.0

42.8

28.12 - 33.89

80

18.6

18.6

61.4

33.90 - 39.67

79

18.4

18.4

79.8

39.68 - 45.45

59

13.7

13.7

93.5

45.46 - 51.22

22

5.1

5.1

98.6

51.23+

6

1.4

1.4

100.0

Total

430

100.0

100.0

Debt

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

20516.00 - 49039.33

18

4.2

4.2

4.2

49039.34 - 77563.67

42

9.8

9.8

14.0

77563.68 - 106088.00

86

20.0

20.0

34.0

106088.01 - 134612.33

99

23.0

23.0

57.0

134612.34 - 163136.66

91

21.2

21.2

78.1

163136.68 - 191661.00

56

13.0

13.0

91.2

191661.01 - 220185.33

24

5.6

5.6

96.7

220185.34 - 248709.66

12

2.8

2.8

99.5

248709.67+

2

.5

.5

100.0

Total

430

100.0

100.0

For getting the accurate findings, high number of class intervals is used. The class intervals are used if the variable takes a large number of securities or the variable is continuous.

Values ??are grouped into intervals having the same amplitude called classes. Each class is assigned its corresponding frequency.

(b) Use appropriate BIN values to draw a histogram for each variable and comment on the shape of the two distributions.

For Television

Bin

Frequency

Bin

Frequency

6

1

31.5

49

8.55

0

26.4

47

11.1

9

34.05

47

13.65

11

39.15

34

16.2

20

44.25

32

18.75

15

28.95

30

21.3

29

21.3

29

23.85

22

36.6

29

26.4

47

41.7

24

28.95

30

23.85

22

31.5

49

16.2

20

34.05

47

18.75

15

36.6

29

13.65

11

39.15

34

49.35

11

41.7

24

11.1

9

44.25

32

46.8

7

46.8

7

51.9

7

49.35

11

54.45

4

51.9

7

More

2

54.45

4

6

1

More

2

8.55

0

The shape of the above histogram is multimodal.

For Debt

Bin

Frequency

Bin

Frequency

20516

1

148875

54

33351.9

8

136039.1

49

46187.8

9

123203.2

44

59023.7

8

110367.3

43

71859.6

18

97531.4

40

84695.5

33

84695.5

33

97531.4

40

174546.8

30

110367.3

43

161710.9

29

123203.2

44

187382.7

24

136039.1

49

71859.6

18

148875

54

200218.6

12

161710.9

29

225890.4

11

174546.8

30

213054.5

10

187382.7

24

46187.8

9

200218.6

12

33351.9

8

213054.5

10

59023.7

8

225890.4

11

238726.3

4

238726.3

4

20516

1

251562.2

1

251562.2

1

264398.1

1

264398.1

1

More

1

More

1

The shape of the above histogram is multimodal.

(c) Use an appropriate plot to investigate the relationship between the two variables. Briefly explain the selection of each variable on the X and Y axes and why? On the same plot, fit a linear trend line including the equation and the coefficient of ...