In a study designed to find differences in personality between cat and dog lovers, 3 subjects were first classified according to their answers to a questionnaire about attitudes towards pets, and previous pet ownership. The n = 66 subjects classified as dog lovers were then scored on the basis of personality questionnaire. Their scores on the introversion/extroversion scale have mean = 6.12 and standard deviation = 1.75.
Obtain a 98% confidence interval for the population mean introversion/ extroversion score.