For women aged​ 18-24, systolic blood pressures​ (in mm​ Hg) are normally distributed with a mean of 114.8 and a standard deviation of 12.5 . If 12 women are randomly​ selected, find the probability...


For women aged​ 18-24, systolic blood pressures​ (in mm​ Hg) are normally distributed with a mean of


114.8


and a standard deviation of


12.5




.

If 12 women are randomly​ selected, find the probability that their mean systolic blood pressure is at least 120.





a. Define the parameter













A.



x overbar equals







The blood pressure of a randomly selected woman








B.



x overbar equals








The

mean blood pressure of 12 randomly selected women






b. State the mean of
x overbar


​:

nothing



c. State the standard deviation of
x overbar


​:

nothing



​(use 2 decimal​ places)


d. Find the​ z-score:
nothing




​(use 2 decimal​ places)


e. Find the​ probability:
nothing



​(use 4 decimal​ places)



Jun 10, 2022
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