Ewey, Lie, and Howe is a regional branch office of tax preparation conglomerate Hookem, Billem, Cheatem, and Soakem. One week before the deadline for filing federal income tax returns, the systolic blood pressure of random sample of 45 employees at Dewey, Lie, and Howe is measured. Based upon the observations in this sample, a 95% confidence interval for the mean systolic blood pressure of all employees is calculated to be (122, 138). Which of the following statements gives the correct interpretation of this interval? (This is a multiple-select question; you must choose all of the correct choices and none of the incorrect choices to receive credit for this question.)
A.On 95% of the days the population means systolic blood pressure is between 122 and 138.
B.95% of the sample of employees has a systolic blood pressure between 122 and 138.
C. We is 95% confident that the systolic blood pressures in this sample have a sample mean that is between 122 and 138.
D. If the sampling procedure were repeated many times and a 95% confidence interval calculated from the observations in each sample, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure ; (122, 138) is one such interval.
E.95% of the population of employees have a systolic blood pressure between 122 and 138.
F. If the sampling procedure were repeated many times and the sample mean systolic blood pressure from the observations in each sample were calculated, then 95% of the sample means would be between 122 and 138.
G. We are 95% confident that the population mean systolic blood pressure of all employees is in the interval (122, 138).
H. We are 95% confident that the interval (122, 138) contains the population mean systolic blood pressure of all employees.
I. The probability that the population mean systolic blood pressure is between 122 and 138 is .95.