Question

4. 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 12.6 (based on
data from the National Health

Survey).

(a) If one woman in that age bracket is randomly selected, find the
probability that her systolic

blood pressure is less than 110.

(b) If 20 women in that age bracket are randomly selected,
describe the sampling distribution of

the sample mean x , the mean systolic blood pressure for the sample
of 20 women. Use clear,

complete sentences to state and justify your answers.

(c) For the sample of 20 women, find the probability that their
mean systolic blood pressure is

less than 110.

(d) Use clear, complete sentences to explain the difference
between your answers in part (a) and

part (c). If you got the same answer, explain why they are the same
answer. If you got different

answers, explain why they are different.

Answer #1

4. Here it is given that distribution is normal with mean=114.8 and sd=12.6

a. Now we need to find

As distribution is normal we can convert x to z

b. For sample size n=20, but population is normal so as per central limit theorem distribution of sample mean is normal with mean

Mean is and

c. Now we need to find

As sample mean is normal we can convert sample mean to z

d. As for a we have used the whole population, but when we use only few samples probability decreases.

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 13.1 (based on data from the National Health Survey). If 15
women in that age bracket are randomly selected, find the
probability that their mean systolic blood pressure is between 110
and 115.
Select one:
a. 41.89%
b. 39.60%
c. 49.70%
d. None of other answers is neccessary true.
e. 44.56%

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 13.1. Hypertension is commonly defined as a systolic blood
pressure above 140.
a. If a woman between the ages of 18 and 24 is randomly
selected, find the probability that her systolic blood pressure is
greater than 140.
b. If 4 women in that age bracket are randomly selected, find
the probability that their mean systolic blood...

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 13.1. Hypertension is commonly defined as a systolic blood
pressure above 140. a. If a woman between the ages of 18 and 24 is
randomly selected, find the probability that her systolic blood
pressure is greater than 140. b. If 4 women in that age bracket are
randomly selected, find the probability that their mean systolic
blood...

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 13.1. If 23 women aged 18-24 are randomly selected, find the
probability that their mean systolic blood pressure is between 119
and 122.

For women aged 18 to 24, systolic blood pressure (in mm Hg) is
normally distributed with a mean of 114.8 and a standard deviation
of 13.1 (based on data from the National Health Survey).
Hypertension is commonly defined as a systolic blood pressure above
140. Let X represent the systolic blood pressure of a randomly
selected woman between the ages of 18 and 24. a. Find the
probability the mean systolic blood pressure of four randomly
selected women would fall...

14. For women aged 18-24, systolic blood pressure (in mm Hg) are
normally distributed with a mean of 114.8 and a standard deviation
of 13.1. If 23 women aged 18-24 are randomly selected, find the
probability that their mean systolic blood pressure is between 112
and 114.8.

1. for a women aged 18-24 blood pressures are normally
distributed with a mean of 114.8 and standard deviation of 13.1
.
a. If a women is randomly selected, find the probability that
her blood pressure is greater than 140.
b. If 4 women are selected, find the probability that their mean
blood pressure is greater than 140.
2. use a normal distribution as an approximation to the binomial
distribution. assume that 100 cars are selected and that the
probability...

The mean systolic blood pressure of adults is 120 millimeters of
mercury (mm Hg) with a standard deviation of 5.6. Assume the
variable is normally distributed.
1) If an individual is randomly selected, what is the
probability that the individual's systolic pressure will be between
120 and 121.8 mm Hg.
2) If a sample of 30 adults are randomly selected, what is the
probability that the sample mean systolic pressure
will be between 120 and 121.8 mm Hg.
-Central Limit...

Suppose systolic blood pressure of 18-year-old females is
approximately normally distributed with a mean of 119 mmHg and a
variance of 619.51 mmHg. If a random sample of 21 girls were
selected from the population, find the following
probabilities:
a) The mean systolic blood pressure will be below
116 mmHg.
probability =
b) The mean systolic blood pressure will be above
120 mmHg.
probability =
c) The mean systolic blood pressure will be
between 107 and 119 mmHg.
probability =...

The systolic blood pressure of 18-year-old women is normally
distributed with a mean of 120 mmHg and a standard deviation of 12
mmHg. Fill in the blanks. About 95.44% of 18-year-old women have a
systolic blood pressure that lies between ___ mmHg and ___
mmHg.

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