Question

**The National Center for Health Statistics reports that the mean systolic blood pressure for all females aged 45 to 54 years is 130 with a population standard deviation of 9. A researcher randomly samples 64 female executives aged 45 to 54 years and determines their mean systolic blood pressure to be 132. Using this sample result, conduct a hypothesis test to determine if the researcher can conclude that female executives aged 45 to 54 years have a higher mean systolic blood pressure at α = 5 %?**

**State****the****hypotheses**(in words & symbols):

**H0:**

**Ha:**

**Determine****the****model****to test H****0**

**Can you****use****a normal distribution for the Sampling Distribution model to perform this test? Please explain. If not, then what distribution could you use?**

**Using****the****appropriate notation,****state the MEAN****& STD ERROR of the sampling distribution: Mean:**

**STD Error:**

**Determine****the****Decision****Rule****:**

**State the decision
rule:**

**Analyze the sample data****: Using the appropriate notation, state the sample result of the test, p-value and the test statistic.**

**sample
result (use appropriate notation) is:**

**p-value ( to
4 decimal places ) is:**

**test
statistic (use appropriate notation) is:**

**Hypothesis
Testing Model:**

**State the**
**Conclusion****:**

**Based on this sample result,
can the researcher conclude that female executives aged 45 to 54
years have a higher mean systolic blood pressure at α = 5
%?**

**YOU MUST EXPLAIN YOUR
ANSWER**

Answer #1

The National Center for health statistics reports that the
systolic blood pressure for males 35 to 44 years of age has mean
128. The medical director of a large company looks at the medical
records of 72 executives in this age group and finds that the mean
systolic blood pressure in this sample is ?̄ = 126.07 and standard
deviation is S=15.
a) State the null and alternative hypotheses you would use to
test whether the company’s executives have less...

1. The National Center for Health Statistics reports that the
systolic blood pressure for males (35-44 years of age) has a mean
128 and standard deviation 15. The medical director of a large
company looks at the medical records of 105 executives in same age
group and finds that the mean systolic blood pressure in this
sample is 126.30. At 95% level, is this evidence that the company’s
executives have a lower mean systolic blood pressure than the
general population?

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...

[Questions 1-9]. Suppose a researcher wants to know if the
average systolic blood pressure in African Americans is different
from the averagesystolicblood pressure in the general
population.Note that the average systolic blood pressure in the
general population is 120 mmHG.The researcherrecruits25 African
Americans into this particular study and then measureseach of their
systolic blood pressures (mmHG).The sample mean blood pressure
is123with a sample standard deviation of 5.0.Note that we DO NOT
KNOW the population standard deviation of blood pressures (σ)....

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 =...

A researcher wanted to find the effect of a special diet on
systolic blood pressure. She selected seven adults and put them on
this dietary plan for three months. The following table gives the
blood pressures of these persons before and after they attend this
plan.
Before 210 180 195 220 231 199 224
After 193 186 186 223 220 183 233
a) Construct a 90% confidence interval for the mean reduction in
the systolic blood pressure due to this...

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...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim?
Let d=(blood pressure before taking new drug)−(blood pressure
after taking new drug) . Use a significance level of α=0.05 for the
test. Assume that the systolic blood pressure levels are...

Assume X = systolic blood pressure of a healthy adult aged 21-45
where X is assumed to be normally distributed with = 120 and σ =
20. a. Find the probability that a randomly selected person from
this population has systolic blood pressure less than 140, ie find
P(X < 140).
b. If 10% of the population have "high" systolic blood pressure,
find the borderline point between "normal" and "high", ie find x0
such that P(X > x0) =...

Question 2
Hypertension (high blood pressure) is a common health problem
amongst the Australian population. It is the greatest contributor
to the burden of cardiovascular disease (CVD). According to
Australian Heart Foundation data, 25% Australians of aged between
45-54 years suffer from hypertension. To investigate how
Australians are affected by the incidence of hypertension, a
researcher selected a random sample of 12 Australians of the above
age group. Use this information to answer the following
questions:
(a) Suggest an appropriate...

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