An ICU nurse is recording the systolic blood pressure of incoming patients. Assume the systolic blood pressure has an unknown distribution with a mean of 110 mm Hg and a standard deviation of 12.5 mm Hg. The nurse believes incoming patients' systolic blood pressure readings are too high. If she randomly selects 40 patients and records their systolic blood pressure, what is the probability that the average systolic blood pressure reading from the sample is over 116 mm Hg? Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note - there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.); Use the Central Limit Theorem to find x and x ; Calculate the z -score for x = 116 and move the slider along the x -axis to the appropriate z -score; The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve. Round to three decimal places