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2) (50 points) In the year 2032, Tiffany Haddock is a leading travel nurse. Tiffany is presently researching the relationship between stress and cardiovascular disease. Suppose systolic blood pressures of patients that are experiencing chronic stress is normally distributed with a mean of 141 and a standard deviation of 5.2. a) In a random sample of 9 chronically stressed patients, what is the probability the sample mean is less than 132? Would you classify this observation as an outlier? Why or why not? b) What is the probability a randomly selected chronically stressed patient has a systolic blood pressure less than 132? Would you classify this observation as an outlier? Why or why not? c) What is the Interquartile Range (IQR) for systolic blood pressures for chronically stressed patients? d) If you took a random sample from this population and constructed a box-and-whisker plot, approximately what would be the three values on the box? e) One patient's systolic blood pressure was 2.06 standard deviations above the mean. What was this patient's systolic blood pressure? f) Using Z > 2 as a criterion for an outlier, what is the minimum sample size such that a sample mean of 143 would be classified as an outlier? g) Tiffany is developing new techniques with the goal of decreasing systolic blood pressures. Tiffany desires the population mean to be such that in a random sample of 9 patients the probability the sample mean is less than 133 is 0.8 (assume the population standard deviation = 5.3). In order to accomplish Tiffany's goals, the population mean can be no more than (round your answer to 2 decimal places)