Question 1: Job Satisfaction
Tab: Job Satisfaction

The purpose of this study is to compare job satisfaction scores between hospital administrators, nursing staff and physicians. A questionnaire was administered to a random sample of hospital staff in six hospitals in Boston. Job satisfaction was measured on a 10-point scale (1=very dissatisfied to 10= very satisfied).
1. State your null and alternate hypotheses.

Null Hypothesis (Ho): There is no statistically significant difference between the mean job satisfaction scores between hospital administrators, nursing staff and physicians.
Alternative Hypothesis (Ha): There is a statistically significant difference between the mean job satisfaction scores between hospital administrators, nursing staff and physicians. At least one category has different job score compare to other.

Mathematically;
Null Hypothesis (Ho): µ1= µ2= µ3
Alternative Hypothesis (Ha): µi≠ µj for i≠j

Where
µ1= population mean score of hospital administrators
µ2= population mean score of hospital nursing staff
µ3= population mean score of hospital physicians

2. Report the findings from your statistical analysis.

Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
Administrators 15 126 8.4 1.114286
Nurses 15 94 6.266667 1.92381
Physicians 15 101 6.733333 1.495238

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 37.73333 2 18.86667 12.48529 5.55E-05 3.219942
Within Groups 63.46667 42 1.511111
Total 101.2 44

From the above analysis of variance table, we have p-value as 0.0000 which is smaller than 0.05 level of significance so we can conclude that there is a statistically significant difference between the mean job satisfaction scores between hospital administrators, nursing staff and physicians. At least one category has different job score compare to other. To see which category, have different mean from other, we have performed the Tukey HSD test.

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