Carla wants to determine if there is a difference in the mean body temperature between men and women. She knows that mean body temperature for men was 97.1 with a population standard deviation of 0.51 and the mean body temperature for women is 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.

Question

Carla wants to determine if there is a difference in the mean body temperature between men and women. She knows that mean body temperature for men was 97.1 with a population standard deviation of 0.51 and the mean body temperature for women is 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.

anonymous · Answer

Using complete sentences, explain what these confidence intervals mean in the context of the problem.