A public health official in St. Lucie county needs to estimate the average diastolic blood pressure of all residents in St. Lucie county for a report that is being prepared for the Florida Department of Health. The official randomly selected 145 St. Lucie county residents and found that the mean diastolic blood pressure of the sample was 76 millimeters of mercury (mm Hg). Using a 98% confidence level, determine the margin of error, E, and a confidence interval for the mean diastolic blood pressure of all St. Lucie county residents. From past research, it is known that the standard deviation of the distribution of all St. Lucie county residents' diastolic blood pressure is 11 mm Hg. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. The margin of error is given by E = A 98% confidence interval is given by

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