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Based on data from the National Health Survey, women between the ages of 18 and 24 ha an average systolic blood pressures (in mm Hg) of 113.3 with a standard deviation of 8.8 Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution. (a) If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than 111. Round your answer to four decimal places. P (x > 111) = Number (b) If 70 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 111. Round your answer to four decimal places. P(x > 111) = Number (c) If the sample were four women between the ages of 18 to 24 and we did not know the original distribution, could the central limit theorem be used? O Yes O No An agronomist measured the height of 130 Soybean plants. The mean height was 218 cm and the standard deviation was 10 cm. Calculate the standard error of the mean. 0 0.4561 O 0.9911 O 0.8771 0 0.6666