b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is \( \square \). (Round to four decimal places as needed.)

To solve this problem, we need to know the average pulse rate and the standard deviation of the pulse rates of adult females. Assuming we have an average (μ) pulse rate of 80 beats per minute and a standard deviation (σ) of around 10 beats per minute, we can apply the Central Limit Theorem since we've selected a sample of 16. 1. **Calculate the standard error (SE):** \( SE = \frac{σ}{\sqrt{n}} = \frac{10}{\sqrt{16}} = 2.5 \). 2. **Find the z-score for a mean of 79:** \( z = \frac{(X̄ - μ)}{SE} = \frac{(79 - 80)}{2.5} = -0.4 \). 3. **Consult the z-table:** A z-score of -0.4 corresponds to a probability of about 0.3446. Thus, rounding to four decimal places, the probability that the mean pulse rate of the selected women is less than 79 beats per minute is \(0.3446\).