Struggling to get a Margin of Error without a sample size. Is this possible?

Question

anonymous · Answer

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

anonymous · Answer

@Hero Do you think you can help me with this? Sorry to bother you.

jim_thompson5910 · Answer

No you need the sample size because the margin of error (ME) is found using this formula

$$\Large \text{ME} = z^{\star} \frac{\sigma}{\sqrt{n}}$$

jim_thompson5910 · Answer

$\Large z^{\star}$ is the critical value (determined from the confidence interval)
$\Large \sigma$ (lowercase greek letter sigma) is the population standard deviation
n is the sample size