3. In a certain research, some astrologists have speculated that people born under certain sun signs are more extroverted than people under other signs. The Eysenck Personality Inventory (EPI) was...

Extracted text: 3. In a certain research, some astrologists have speculated that people born under certain sun signs are more extroverted than people under other signs. The Eysenck Personality Inventory (EPI) was used to measure extroversion and neuroticism. The following data as follows: Sun Sign Sample Size Extroversion Neuroticism SD SD Water Signs Other Signs Winter Signs Summer Signs 78 12.80 4.63 13.57 5.25 199 13.67 5.18 13.43 5.34 82 12.58 15.78 5.34 12.97 5.22 53 4.84 15.45 5.03 3.2 Do the data strongly suggest that those born under winter signs have a lower mean extroversion score than those born under summer signs? Use a level of 0.05 test.