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

question 15

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.
-A random sample of 16 women resulted in blood pressure levels with a standard deviation of 23 mm Hg. A
random sample of 17 men resulted in blood pressure levels with a standard deviation of 19.2 mm Hg. Use a 0.05
significance level to test the claim that blood pressure levels for women vary more than blood pressure levels
for men.

---

Definitions:

Polygraph Machine

A device used to measure and record physiological indicators such as blood pressure, pulse, and respiration while a person is asked questions, purportedly to detect lies.

Tensing Muscles

The act of contracting one's muscles tightly, often used as a relaxation technique by progressively tensing and then relaxing different muscle groups.

Cerebellum

A brain structure that regulates movement and balance, is involved in remembering simple skills and acquired reflexes, and plays a role in cognitive and emotional learning.

Physiological Patterns

Regular and predictable behaviors or responses of the body's systems, often in relation to health and disease.