Workers in the three occupations were questioned about satisfaction with their jobs and results were based on a scale from 1- very dissatisfied to 4- very satisfied. The following summary statistics were obtained.

Number of responses. mean Standard Deviation

Firefighter. 226. 3.673. 0.7235

Office supervisor. 247. 3.547. 0.6089

Clergy. 90. 3.79. 0.59

Does the data provide strong evidence that the mean job satisfaction of the clergy exceeds the mean job satisfaction of the firefighters?

Perform the appropriate hypothesis test showing all the necessary steps using the p-value approach and a level of significance of 8%