For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. a) If a woman was randomly selected from the population, what is the probability that her blood pressure is between 119 and 122 mm Hg? b) What is the blood pressure of a woman who is at the 65th percentile? c) If 23 women aged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg.

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For women aged 18-24, systolic blood pressures are normally distributed with a mean of
114.8 mm Hg and a standard deviation of 13.1 mm Hg.
a) If a woman was randomly selected from the population, what is the probability that her
blood pressure is between 119 and 122 mm Hg?
b) What is the blood pressure of a woman who is at the 65th percentile?
c) If 23 women aged 18-24 are randomly selected, find the probability that their mean
systolic blood pressure is between 119 and 122 mm Hg.
d) Find the mean and standard deviation of the sampling distribution of the sample sums
of 23 women.
Transcribed Image Text:For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. a) If a woman was randomly selected from the population, what is the probability that her blood pressure is between 119 and 122 mm Hg? b) What is the blood pressure of a woman who is at the 65th percentile? c) If 23 women aged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. d) Find the mean and standard deviation of the sampling distribution of the sample sums of 23 women.
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