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Suppose that similar approach, using a20-item scale with 1-5 response options, w

ID: 2914432 • Letter: S

Question

Suppose that similar approach, using a20-item scale with 1-5 response options, was used to measure thejob stress of individuals for 15 randomly selected real estateagents, 15 architects, and 15 stock brokers. The stress levels ofthe three professions are given below:

Stress Level in Percent

Real Estate

Architect

Stockbroker

81

43

65

48

63

48

68

60

57

69

52

91

54

54

70

62

77

67

76

68

83

56

57

75

61

61

53

65

80

71

64

50

54

69

37

72

83

73

65

85

84

58

75

58

58

Using a = 0.05, test for any significantdifference in job stress among the three professions[Put the data in excel first.Then use Tools, Data Analysis function, one-factor ANOVA. Show allfive steps of hypothesis testing].See a model example in week 3 lecture - Rate of Returnsfor Utility, Retail and Banking.

B. Parametric and NonparametricData Identification Assignment

Label each of the following situations“P” if itis an example of parametric data or“NP” ifit is an example of nonparametric data.

1.    In a comparison oftwo towns, is the average height of its residents the same?_____

2.    A manufacturerproduces a batch of memory chips (RAM) and measures themean-time-between-failures (MTBF). The manufacturer then changes amanufacturing process and produces another batch and again measuresthe MTBF. Did the change to the process improve the MTBF?_____

3.    The average life spanof a dog is proportional to the amount of calcium consumed._____

4.    The correlationbetween gene disorders and certain diseases. _____

5.    From a written surveywhere the respondents were asked to rate an individual on a scaleof 1 to 5, one group rated an individual a 3.7, another group ratedthe individual a 4.3. Is the difference statistically significant?_____

6.    A study of vehicleaccidents on a military installation compared to drivers' rank._____

7.    Show that the numbersdrawn in a state lottery are truly random. _____

8. There is a direct correlation to astudent's grade and the student's rating of an instructor.___

Stress Level in Percent

Real Estate

Architect

Stockbroker

81

43

65

48

63

48

68

60

57

69

52

91

54

54

70

62

77

67

76

68

83

56

57

75

61

61

53

65

80

71

64

50

54

69

37

72

83

73

65

85

84

58

75

58

58

Explanation / Answer

1.    In a comparison oftwo towns, is the average height of its residents the same?____P_

2.    A manufacturerproduces a batch of memory chips (RAM) and measures themean-time-between-failures (MTBF). The manufacturer then changes amanufacturing process and produces another batch and again measuresthe MTBF. Did the change to the process improve the MTBF?___P__

4.    The correlationbetween gene disorders and certain diseases. ___NP__

6.    A study of vehicleaccidents on a military installation compared to drivers' rank.___NP__

7.    Show that the numbersdrawn in a state lottery are truly random. __NP___

8. There is a direct correlation to astudent's grade and the student's rating of an instructor.___NP

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 15 1016 67.73333 117.6381 Column 2 15 917 61.13333 179.981 Column 3 15 987 65.8 137.1714 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 345.3778 2 172.6889 1.191532 0.313814 3.219942 Within Groups 6087.067 42 144.9302 Total 6432.444 44
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