Suppose that systolic blood pressure is approxiamtly Normally Distributed with a mean of 116 mmHg and a standard deviation of 21mmHg We taken an SRS of 8 indivduals, measure their systolic blood pressure, and calcalate the sample mean. A) Stage 2 hypertension is sometimes classified as 140mmHg or higher. What is the probability that the mean of a sample size of 8 is greater than 140 mmHg? Show all work. B) If we repeated this many times, how many standard devations away from the mean would 70% of the sample means lie? Show your work. C) Between which two values would the middle 70% of sample means lie? Show all work.

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