Question

R Studio Suppose systolic blood pressure of adults has a normal distribution with mean 130 and standard deviation 35. Research question: Do statistics teachers have a higher average systolic blood pressure than 130? A random sample of 100 statistics teachers is obtained and the mean is 135. (The population standard deviation is known, so we use Z for critical values.)

Solve the using the Confidence Interval Hypothesis Test approach and t.test() Approach. Use the Pima.tr data set to evaluate the hypothesis that the population mean of diastolic blood pressure for Pima Indian women is not 70. library(MASS) data("Pima.tr") #str(Pima.tr) ?Pima.tr

Answer #1

The systolic blood pressure (given in millimeters) of males has
an approximately normal distribution with mean μ = 135 and standard
deviation σ = 12.
(a) Calculate the z-scores for the male systolic blood pressures
130 and 140 millimeters. (Round your answers to two decimal
places.)
130
mm
z
=
140
mm
z
=
(b) If a male friend of yours said he thought his systolic blood
pressure was 2.5 standard deviations below the mean, but that he
believed his...

Suppose the systolic blood pressure of young adults is
normally distributed with mean 120 and standard deviation 11.
(a) Find the 77th percentile of this distribution.
(b) Find the probability that a random young adult has
systolic blood pressure above 135.
(c) Find the probability that a random young adult has
systolic blood pressure within 3.3 standard deviations of the
mean.
(d) Suppose you take a sample of 8 young adults and measure
their average systolic blood pressure. Carefully jus-...

The systolic blood pressure X of adults in a region is normally
distributed with mean 112 mm Hg and standard deviation 15 mm
Hg.
A person is considered “prehypertensive” if his systolic blood
pressure is between 120 and 130 mm Hg.
Find the probability that the blood pressure of a randomly
selected person is prehypertensive.

Assume that the mean systolic blood pressure of normal adults is
120 millimeters of mercury (mm Hg) and the population standard
deviation is 5.6. Assume the variable is normally distributed. If a
sample of 30 adults is randomly selected, find the probability that
the sample mean will be between 120-mm and 121.8-mm Hg.

Assume that the mean systolic blood pressure of normal adults is
120 millimeters of mercury (mm Hg) and the standard deviation is
5.6. Assume that the variable is normally distributed. If an
individual is selected, find the probability that the individual’s
systolic blood pressure will be between 118.4 and 121.9 mm Hg.

a. The systolic blood pressure (given in millimeters) of females
has an approximately normal distribution with mean μ = 122
millimeters and standard deviation σ = 16 millimeters. Systolic
blood pressure for females follows a normal distribution. Calculate
the z-scores for a female systolic blood pressure of 136
millimeters (Round answer to 3 decimal places).
b. The systolic blood pressure (given in millimeters) of females
has an approximately normal distribution with mean μ = 122
millimeters and standard deviation σ...

A study is run to estimate the mean Systolic Blood Pressure
level in adults 60 to 80 years of age. A sample of 10 participants
is selected and their Systolic Blood Pressure levels are measured
as follows.
125 135 160 146 135 140 154 170 110 140
Compute Quartiles 1 and 3
Q1=135 and Q2= 152
Q1=152 and Q2=135
Q1=125 and Q2=160
a and b

The systolic blood pressure of adults in the USA is nearly
normally distributed with a mean of 121 millimeters of mercury
(mmHg) and standard deviation of 17.
Someone qualifies as having Stage 2 high blood pressure if their
systolic blood pressure is 160 or higher. Stage 1 high BP is
specified as systolic BP between 140 and 160.
Give your answers rounded to 4 decimal places.
a. What is the probability that an adult in the USA has stage 2...

The systolic blood pressure (given in millimeters) of males has
an approximately normal distribution with mean 123 and standard
deviation 12. Systolic blood pressure for males follows a normal
distribution. The bottom 7% of men have systolic blood pressures
below what value?

1.The mean systolic blood pressure for a population of patients
(µ) from a local clinic is 130 with a standard deviation (σ) of 18.
(You will use the above information for several of the following
questions) What is the z-score for a patient with a systolic blood
pressure of 123? Rounded to the nearest hundredth.
2.71
-0.83
-0.39
-2.75
-1.14
2.
From information on a previous question: The mean systolic
blood pressure for a population of patients (µ) from a...

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