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PH 504 Alcorn State University Psychological Statistics Element Questions

 

Your assignment this week is to complete an exercise using the One-Way Analysis of Variance (ANOVA) . The assignment consists of five (5) parts and the points assigned to each part is on the assignment page.

Alcorn State University hired an educational statistician to determine the job satisfaction of its’ instructors who had been employed for varying lengths of time. Length of employment is classified as follows: (1) 0 to 2 years, (2) 3 to 5 years, (3) 6 to 10 years, and (4) more than 10 years. The data in Table 1 below are job satisfaction scores for the instructors. Determine whether job satisfaction varies due to length of employment.

Table 1: Length of Employment

1 (0 to 2 yrs)

2 (3 to 5 yrs)

3 (6 to 10 yrs)

4 (more than 10 yrs)

71

77

83

76

74

74

77

69

75

81

80

64

68

75

76

76

74

70

86

73

72

74

79

72

76

81

86

68

73

76

82

71

  1. State the null and alternative hypotheses (Ho and H1). – 10 points
  2. What is the sample size (Ni), mean (x̄i), and standard deviation (Si) for each group? – 15 points
  3. Make a decision about the null hypothesis. – 55 points
  • Calculate the degrees of freedom (df) and set alpha (α).
  • Identify the critical value (CV) and state the decision rule.
  • Calculate the F-ratio (F) and create an ANOVA summary table.
  • Make a decision whether to reject the null hypothesis
  • Determine the level of significance.
  • Calculate a measure of effect size (R2).
  1. Draw a conclusion from the analysis. – 10 points
  2. Relate the result of the analysis to the research hypothesis. – 10 points

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