Question

Assume that females have pulse rates that are normally distributed with a mean of u=73.0 beats per minute and a standard deviation of q=12.5 beats per minute a. if 16 adult females are randomly selected, find the probability that they have pulse rate with a mean between 66 beats per minute and 80 beats per minute

Answer 1

To find the probability that the mean pulse rate is between 66 and 80 beats per minute for 16 randomly selected adult females, use the standard normal distribution and z-scores.

Step-by-step explanation:

To find the probability that the mean pulse rate is between 66 and 80 beats per minute for 16 randomly selected adult females, we can use the standard normal distribution. First, we convert the pulse rates to z-scores using the formula z = (x - u) / q, where x is the value, u is the mean, and q is the standard deviation. Then, we use a z-table or a calculator to find the probabilities associated with the z-scores. The probability can be calculated as P(66 < x < 80) = P(z1 < z < z2), where z1 = (66 - 73) / 12.5 and z2 = (80 - 73) / 12.5.