How many rounds of golf do those physicians who play golf play per year? A survey of 12 physicians revealed the following numbers:

$$5, \quad 42, \quad 14, \quad 4, \quad 36, \quad 39, \quad 19, \quad 15, \quad 17, \quad 30, \quad 12, \quad 52$$

Estimate with 94% confidence the mean number of rounds played per year by physicians, assuming that the population is normally distributed with a standard deviation of 8.

Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits.

Confidence Interval =