Researchers investigated whether there is a difference between two headache medications, R and S. Researchers measured the mean times required to obtain relief from a headache for patients taking one of
the medications. From a random sample of 75 people with chronic headaches

, 38 were randomly assigned to
medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person
experienced relief from a headache was recorded. The sample mean times were calculated for each
medication.
Have the conditions been met for inference with a confidence interval the difference in population
means?