Final answer:
To estimate the mean number of rounds played per year by physicians, we can use the formula for a confidence interval.
Step-by-step explanation:
To estimate the mean number of rounds played per year by physicians, we can use the formula for a confidence interval:
(mean - z * (standard deviation / sqrt(n)), mean + z * (standard deviation / sqrt(n)))
Given that there are 12 physicians, a confidence level of 91%, a standard deviation of 8, and a normal distribution, the formula becomes:
(mean - 1.695 * (8 / sqrt(12)), mean + 1.695 * (8 / sqrt(12)))
So the estimated mean number of rounds played per year by physicians is (mean - 5.188, mean + 5.188) with 91% confidence.