Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

question 164

Essay

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-When 25 randomly selected customers enter any one of several waiting lines, their waiting times have a
standard deviation of 5.35 minutes. When 16 randomly selected customers enter a single main waiting line,
their waiting times have a standard deviation of 2.2 minutes. Use a 0.05 significance level to test the claim that
there is more variation in the waiting times when several lines are used.

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Definitions:

AV Node

A part of the electrical conduction system of the heart that delays the electrical impulse from the atria, allowing the ventricles time to fill with blood.

Atrioventricular Valves

Valves between the atria and ventricles of the heart that prevent the backflow of blood.

Semilunar Valves

Heart valves located at the bases of the large arteries that exit the heart (the aorta and the pulmonary artery); they prevent blood from flowing back into the heart's ventricles after contraction.

Stethoscope

A stethoscope is a medical instrument used to listen to the internal sounds of the body, particularly the heart and lungs, for diagnostic purposes.