In a study, a random sample of 260 female students on wayne state campus were surveyed and a random sample of 245 male students were also surveyed and. on the survey, students rated (on a 7-point scale) whether they thought animal research is wrong. the average for the female students was 5.353 and the average for the male students was 3.882. suppose it is known that the standard deviation for female students is 1.656 and the standard deviation for male students is 1.728, construct and interpret a 99% confidence interval for the true difference in average ratings for female and male students at wayne state university. (round to three decimal places if necessary.)