A researcher wanted to know which smartphone is more popular to the customers in terms of: OPERATING SYSTEM, DESIGN, and SERVICE.   The researcher was able to gather 66 responses presented in the dataset below. Assume that the researcher required the respondents to rate OPERATING SYSTEM, DESIGN, and SERVICE from 1 to 30, wherein 1 is the lowest rate and 30 is the highest.   RESPONSES OS DESIGN SERVICE PHONE TYPE 1 28 25 27 Samsung Galaxy 2 27 24 27 Samsung Galaxy 3 27 23 26 Samsung Galaxy 4 27 28 27 Samsung Galaxy 5 27 20 25 Samsung Galaxy 6 27 26 27 Samsung Galaxy 7 27 23 27 Samsung Galaxy 8 26 24 25 Samsung Galaxy 9 26 25 24 Samsung Galaxy 10 26 23 25 Samsung Galaxy 11 25 22 23 Huawei 12 24 24 23 Huawei 13 23 21 21 Huawei 14 23 19 23 Huawei 15 22 21 21 Huawei 16 22 17 21 Huawei 17 22 21 21 Huawei 18 21 18 19 Huawei 19 20 14 19 Huawei 20 19 7 14 Huawei 21 29 28 28 Apple Iphone 22 29 27 28 Apple Iphone 23 28 27 27 Apple Iphone 24 28 28 28 Apple Iphone 25 28 27 28 Apple Iphone 26 28 28 28 Apple Iphone 27 27 24 26 Apple Iphone 28 26 16 23 Apple Iphone 29 25 25 26 Apple Iphone 30 25 23 25 Apple Iphone 31 25 24 23 Oppo Reno 32 24 18 22 Oppo Reno 33 23 19 21 Oppo Reno 34 23 19 21 Oppo Reno 35 23 26 23 Oppo Reno 36 22 17 19 Oppo Reno 37 22 19 19 Oppo Reno 38 21 16 18 Oppo Reno 39 21 22 20 Oppo Reno 40 21 16 18 Oppo Reno 41 28 26 26 Oppo Reno 42 27 27 27 Oppo Reno 43 27 24 25 Oppo Reno 44 27 25 26 Oppo Reno 45 26 24 23 Oppo Reno 46 26 24 23 Oppo Reno 47 26 17 24 Oppo Reno 48 26 19 23 Oppo Reno 49 26 21 26 Oppo Reno 50 26 21 23 Oppo Reno 51 28 22 24 Sony Xperia 52 28 17 25 Sony Xperia 53 27 15 21 Sony Xperia 54 26 27 25 Sony Xperia 55 26 23 23 Sony Xperia 56 26 23 23 Sony Xperia 57 26 23 23 Sony Xperia 58 25 18 22 Sony Xperia 59 25 18 22 Sony Xperia 60 24 26 23 Sony Xperia 61 25 17 22 Xiaomi 62 23 17 20 Xiaomi 63 23 19 20 Xiaomi 64 20 10 15 Xiaomi 65 19 19 18 Xiaomi 66 19 21 18 Xiaomi     Answer the following:   Which measures of central tendency would be appropriate to describe the responses for OPERATING SYSTEM, DESIGN, and SERVICE? What is/are the Independent Variable/s and It’s Level of Measurement? What is/are the Dependent Variable/s and It’s Level of Measurement?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Question

A researcher wanted to know which smartphone is more popular to the customers in terms of: OPERATING SYSTEM, DESIGN, and SERVICE.

 

The researcher was able to gather 66 responses presented in the dataset below.

Assume that the researcher required the respondents to rate OPERATING SYSTEM, DESIGN, and SERVICE from 1 to 30, wherein 1 is the lowest rate and 30 is the highest.

 

RESPONSES

OS

DESIGN

SERVICE

PHONE TYPE

1

28

25

27

Samsung Galaxy

2

27

24

27

Samsung Galaxy

3

27

23

26

Samsung Galaxy

4

27

28

27

Samsung Galaxy

5

27

20

25

Samsung Galaxy

6

27

26

27

Samsung Galaxy

7

27

23

27

Samsung Galaxy

8

26

24

25

Samsung Galaxy

9

26

25

24

Samsung Galaxy

10

26

23

25

Samsung Galaxy

11

25

22

23

Huawei

12

24

24

23

Huawei

13

23

21

21

Huawei

14

23

19

23

Huawei

15

22

21

21

Huawei

16

22

17

21

Huawei

17

22

21

21

Huawei

18

21

18

19

Huawei

19

20

14

19

Huawei

20

19

7

14

Huawei

21

29

28

28

Apple Iphone

22

29

27

28

Apple Iphone

23

28

27

27

Apple Iphone

24

28

28

28

Apple Iphone

25

28

27

28

Apple Iphone

26

28

28

28

Apple Iphone

27

27

24

26

Apple Iphone

28

26

16

23

Apple Iphone

29

25

25

26

Apple Iphone

30

25

23

25

Apple Iphone

31

25

24

23

Oppo Reno

32

24

18

22

Oppo Reno

33

23

19

21

Oppo Reno

34

23

19

21

Oppo Reno

35

23

26

23

Oppo Reno

36

22

17

19

Oppo Reno

37

22

19

19

Oppo Reno

38

21

16

18

Oppo Reno

39

21

22

20

Oppo Reno

40

21

16

18

Oppo Reno

41

28

26

26

Oppo Reno

42

27

27

27

Oppo Reno

43

27

24

25

Oppo Reno

44

27

25

26

Oppo Reno

45

26

24

23

Oppo Reno

46

26

24

23

Oppo Reno

47

26

17

24

Oppo Reno

48

26

19

23

Oppo Reno

49

26

21

26

Oppo Reno

50

26

21

23

Oppo Reno

51

28

22

24

Sony Xperia

52

28

17

25

Sony Xperia

53

27

15

21

Sony Xperia

54

26

27

25

Sony Xperia

55

26

23

23

Sony Xperia

56

26

23

23

Sony Xperia

57

26

23

23

Sony Xperia

58

25

18

22

Sony Xperia

59

25

18

22

Sony Xperia

60

24

26

23

Sony Xperia

61

25

17

22

Xiaomi

62

23

17

20

Xiaomi

63

23

19

20

Xiaomi

64

20

10

15

Xiaomi

65

19

19

18

Xiaomi

66

19

21

18

Xiaomi

 

 

Answer the following:

 

  1. Which measures of central tendency would be appropriate to describe the responses for OPERATING SYSTEM, DESIGN, and SERVICE?
  2. What is/are the Independent Variable/s and It’s Level of Measurement?
  3. What is/are the Dependent Variable/s and It’s Level of Measurement?
  4. What is the Appropriate Statistical Tool to be use in this survey?

 

As what you may have observed when you conducted the “Descriptive Statistics” in Excel and SPSS, the “range”, “variance”, and “standard deviation” were already computed. Thus, you only need to compute for the Coefficient of Variation or Covariance for the following statement of the problem:

 

  1. Is there a relationship between Operating System and Design? Interpret the results
  2. Is there a relationship between Operating System and Service? Interpret the results
  3. Is there a relationship between Design and Service? Interpret the results
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Follow-up Question
  1. What is the Appropriate Statistical Tool to be use in this survey? explain why?

 

As what you may have observed when you conducted the “Descriptive Statistics” in Excel and SPSS, the “range”, “variance”, and “standard deviation” were already computed. Thus, you only need to compute for the Coefficient of Variation or Covariance for the following statement of the problem:

 

  1. Is there a relationship between Operating System and Design? Interpret the results
  2. Is there a relationship between Operating System and Service? Interpret the results
  3. Is there a relationship between Design and Service? Interpret the results
Solution
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