THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A confidence interval for the difference between the means of two normally distributed populations based on the following dependent samples is desired:
-If the observed sample means are 
and 
Then a 100(1- α) % confidence interval for the difference between two means,independent samples,and known population variances is given by:
Definitions:
Retirement Years
A phase of life typically after the age of 65, marked by the cessation of full-time work and engagement in leisure or voluntary activities.
Health
The state of being free from illness or injury, encompassing physical, mental, and social well-being.
Interact with Neighbors
The act of engaging in social, supportive, or communal activities with people who live in one's immediate vicinity.
Small Town
A community with a small population and limited urban development, often characterized by a close-knit social atmosphere.
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