The numbers of faculty at 20 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under 12,000 with 96% confidence. Assume =165.1. Assume the population is normally distributed.

Round intermediate calculations steps to at least two decimal places. Round your final answers to one decimal place.

539 471 211 384 396 224 337 395 121 356 621 367 408 515 280 289 180 431 176 318