Employers sometimes seem to prefer executives who appearphysically fit, despite the legal troubles that may result.Employers may also favor certain personality characteristics.Researchers are interested in determining whether fitness andpersonality are related. In one study, random samples ofmiddle-aged managers who had volunteered for a fitness program weredivided into low-fitness and high-fitness groups based on aphysical examination. The subjects then took the Cattell SixteenPersonality Factor Questionnaire.
Here are the data for the “ego strength” personality factor:
Low fitness: 4.99 4.24 4.74 4.93 4.16 5.53 4.12 5.1 4.47 5.33.12 3.77 5.09 5.4
High fitness: 6.68 6.42 7.32 6.38 6.16 5.93 7.08 6.37 6.53 6.685.71 6.2 6.04 6.51
Is there a statistically significant difference in mean egostrength for the two fitness groups? Conduct a complete andappropriate hypothesis test at the 2% significance level.
