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...

The National Center for Health Statistics reports that the mean
systolic blood pressure for males 35 to 44 years of age is 128. Do
the executives of a large company have a different mean blood
pressure? We collect data on 72 executives and find x-bar=126.07
and s=15. For this test, we plan to use a significance level of
0.05.
1. Using a calculator, conduct the appropriate hypothesis test.
Based on the p-value found throught the test, make a decision and...

The National Center for Health Statistics reports that the mean
systolic blood pressure for males 35 to 44 years of age is 128. Do
the executives of a large company have a different mean blood
pressure? We collect data on 72 executives and find x-bar=126.07
and s=15. For this test, we plan to use a significance level of
0.05.
1. Using a calculator, conduct the appropriate hypothesis test.
Report the p-value.
2. Based on the p-value found in the previous...

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?

Application Exercise:
A physician hypothesizes that males have higher systolic blood
pressure than females. The physician obtains a sample of patients
and measures their blood pressures during their regular check-up.
Below is the systolic blood pressure for the sample. What can the
physician conclude with α = 0.01?
male
female
106
119
98
105
100
132
109
113
98
105
137
115
119
115
127
122
131
124
111
136
a) What is the appropriate test statistic?
---Select--- na z-test...

A doctor hypothesizes that females have higher systolic blood
pressure than males. The doctor obtains the blood pressure from a
sample of patients during their annual check-up. Below is the
systolic blood pressure for the sample. What can be concluded with
α = 0.05?
male
female
106
119
98
105
100
132
109
113
98
105
137
105
119
115
127
122
131
124
111
136
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test...

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 =...

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...

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