Blood pressure. Under certain assumptions, the blood pressure P in the largest artery in the human body (the aorta) changes between beats with respect to time t according to d P d t = − a P P ( 0 ) = P 0 where a is a constant. Find P = P ( t ) that satisfies both conditions.
Blood pressure. Under certain assumptions, the blood pressure P in the largest artery in the human body (the aorta) changes between beats with respect to time t according to d P d t = − a P P ( 0 ) = P 0 where a is a constant. Find P = P ( t ) that satisfies both conditions.
Solution Summary: The author explains how to find the function P that satisfies the conditions.
Blood pressure. Under certain assumptions, the blood pressure P in the largest artery in the human body (the aorta) changes between beats with respect to time t according to
d
P
d
t
=
−
a
P
P
(
0
)
=
P
0
where a is a constant. Find P = P(t) that satisfies both conditions.
A simple random sample of 40 items resulted in a sample mean of 25. The population standard deviation is 5.
a. What is the standard error of the mean (to 2 decimals)?
b. At 95% confidence, what is the margin of error (to 2 decimals)?
mean trough level of the population to be 3.7 micrograms/mL. The researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 4.1 micrograms/mL with a standard deviation of 2.4 micrograms/mL. The researcher wants to test at the 5% level of significance if the trough is different than previously reported or not. Z statistics will be used.
Complete Step 5 of hypothesis testing: Conclusion. State whether or not you would reject the null hypothesis and why. Also interpret what this means (i.e. is the mean trough different from 3.7 or no
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