Based on data from the National Health Survey, women between the ages of 18 and 24 have an average systolic blood pressures (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution. a. If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than 120. b. If 40 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 120. C. If the sample were four women between the ages of 18 to 24 and we did not know the original distribution, could the central limit theorem be used?

Based on data from the National Health Survey, women between the ages of 18 and 24 have an average systolic blood pressures (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution. a. If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than 120. b. If 40 women from this population are randomly selected, find the probability that their mean systolic blood pressure is greater than 120. C. If the sample were four women between the ages of 18 to 24 and we did not know the original distribution, could the central limit theorem be used?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Based on data from the National Health Survey, women between the ages of 18 and 24 have an average systolic
blood pressures (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between
the ages of 18 to 24 follow a normal distribution.
a. If one woman from this population is randomly selected, find the probability that her systolic blood
pressure
is
greater than 120.
b. If 40 women from this population are randomly selected, find the probability that their mean systolic blood
pressure
greater than 120.
C. If the sample were four women between the ages of 18 to 24 and we did not know the original distribution,
could the central limit theorem be used?

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