A Random Sample of 10 University Students Was Surveyed to Help

question 148

Essay

A random sample of 10 university students was surveyed to help estimate the average amount of time students spent per week on their computers.The student hours spent using a personal computer over a randomly selected week were 13,14,5,6,8,10,7,12,15,3.
a.Find an unbiased estimator of the average time per week for all university students.
b.Find an unbiased estimator of the variance.
c.Find a consistent estimator of the average time per week for all university students.

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Definitions:

Bone Density

The measure of mineral content within bones, an indicator of bone strength and risk factor for osteoporosis.

Osteoporosis

A bone disease characterized by decreased bone density and mass, leading to fragile bones that are more susceptible to fractures.

Jumping Rope

A form of cardiovascular exercise that involves skipping over a rope that is swung under the feet and over the head, beneficial for coordination and stamina.

Cardiovascular Disease

A class of diseases that involve the heart or blood vessels, including coronary artery disease, hypertension, and stroke.