You have measured the systolic blood pressure of a random sample of 25 math graduate students in Martin Hall. A 95% confidence interval for the mean systolic blood pressure for math grad students at Clemson is [122,138]. Which of the following statements gives a valid interpretation of this situation? (a) 95% of the sample of grad students have a systolic blood pressure between 122 and 138
(b) 95% of the population of math grad students have a systolic blood pressure between 122 and 138.
(c) The probability that the population mean blood pressure is between 122 and 138 is 0.95
(d) If the procedure was repeated many times (random sample collected, mean and CI computed), 95% of the sample means would be between 122 and 138
(e) If the procedure was repeated many times (random sample collected, mean and CI computed), 95% of the confidence intervals produced will capture the true mean.