Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the likelihood that their mean body temperature will be less than 98.60°F.

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean will have a mean of 98.20°F and a standard deviation of 0.62/√19. Using the z-score formula, we find the z-score for 98.60°F and then use the standard normal distribution to find the probability. The probability that the mean is less than 98.60°F is approximately 0.9974.

Human Body Temperatures Are Normally Distributed with a Mean of 98.20°F