This thesis gives known theorems on which the concept and construction of confidence and two types of tolerance limits for normal distributions are based. Procedures are presented for computing two-sided conference and tolerance limits for means and simple linear regression data (simultaneous and non-simultaneous limits for each type). A numerical simple linear regression example is presented showing the six types of limits. An additional bibliography is given for reference on confidence and tolerance limits when information other than what is given in the thesis is desired. / M.S.