The sizes of farms (in acres) in a US state follow a normal distribution with known standard deviation. We would like to estimate the true mean size u of all farms in the state. We measure the sizes of a random sample of 30 farms and calculate a 95% confidence interval for u to be (290, 310). What is the correct interpretation of this interval?

A. In repeated samples of 30 farms, 95% of similarly constructed intervals will contain the sample mean.

B. The probability that the population mean is between 290 and 310 acres is 0.95.

C. In repeated samples of 30 farms, 95% of similarly constructed intervals will contain the population mean.

D. Approximately 95% of farms have a size between 290 and 310 acres.

E. Approximately 95% of samples of 30 farms will have a mean size between 290 and 310 acres.