In: Statistics and Probability
Systolic blood pressure readings for females are normally distributed with a mean of 125 and a standard deviation of 10.34. If 60 females are randomly selected then find the probability that their mean systolic blood pressure is between 122 and 126. Give your answer to four decimal places.
Solution :
Given that ,
mean = = 125
standard deviation = = 10.34
= / n = 10.34 / 60 = 1.3349
= P[(122 - 125) /1.3349 < ( - ) / < (126 - 125) / 1.3349)]
= P(-2.25 < Z < 0.75)
= P(Z < 0.75) - P(Z < -2.25)
= 0.7734 - 0.0122
= 0.7612
Probability = 0.7612