Question

Carla conducted an experiment to determine if the there is a difference in mean body temperature for men and women. She found that the mean body temperature for men in the sample was 97.1 with a population standard deviation of 0.51 and the mean body temperature for women in the sample was 98.2 with a population standard deviation of 0.57.
Assuming the population of body temperatures for men and women is normally distributed, calculate the 95% confidence interval and the margin of error for the mean body temperature for both men and women. Using complete sentences, explain what these confide

Answer 1

Not clear whether this seeks the mean body temperature for men and women combined or the mean for men and the mean for women.

Anyway, what they want you to recognize is that the confidence interval for means depends on the standard error of the mean, SE = population SD divided by sqrt(number of samples making up the mean).

Means are more nearly normally distributed than the populations from which they are derived, and although you could pursue the Student's t-test, they likely want you to work with the normal distribution. So the symmetric 95% confidence interval for each
gender will be [mean +- 1.96 SD/sqrt(number of samples)]

Unfortunately, I do not see number sampled in the question.