A public health official in Martin county needs to estimate the average systolic blood pressure of all residents in Martin county for a report that is being prepared for the Florida Department of Health. The official randomly selected 142 Martin county residents and found that the mean systolic blood pressure of the sample was 117 millimeters of mercury (mm Hg). Using a 98% confidence level, determine the margin of error, E, and a confidence interval for the mean systolic blood pressure of all Martin county residents. From past research, it is known that the standard deviation of the distribution of all Martin county residents' systolic blood pressure is 13 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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