Hey guys I am completely stuck on how to solve this stats problem :(
Blood pressure measurements can vary significantly from one measurement to another, even if the patient does not move. The measured systolic blood pressure for a particular patient is normally distributed and has a mean of 120 (measured in millimeters of mercury, mm Hg) with a standard deviation of 7.2 mm Hg.
A nurse is about to measure the systolic blood pressure for this patient five times. What is the probability that the mean of the five measured values will be less than 123 mm Hg?
Blood pressure measurements can vary significantly from one measurement to another, even if the patient does not move. The measured systolic blood pressure for a particular patient is normally distributed and has a mean of 120 (measured in millimeters of mercury, mm Hg) with a standard deviation of 7.2 mm Hg.
A nurse is about to measure the systolic blood pressure for this patient five times. What is the probability that the mean of the five measured values will be less than 123 mm Hg?
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standard error = 7.2 /sqrt 5 = 3.22
z-score = (123-120)/3.22 = 0.93
P(z<0.93) = 0.8238 <-------
z-score = (123-120)/3.22 = 0.93
P(z<0.93) = 0.8238 <-------