Systolic blood pressure readings for females are normally distributed with a mean of 125 and a...

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.

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Expert Solution

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

orchestra answered 1 year ago

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