Questions from Applied Statistics

Q: In 2002, the average height of a woman aged 20–

In 2002, the average height of a woman aged 20–74 years was 64 inches, with an increase of approximately 1 inch from 1960 (http://usgovinfo.about.com/od/healthcare). Suppose the height of a woman is n...

Q: Suppose that the correlation between X and Y is ρ. For

Suppose that the correlation between X and Y is ρ. For constants a, b, c, and d, what is the correlation between the random variables U = aX + b and V = cY + d?

Q: The life of a semiconductor laser at a constant power is normally

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. a. What is the probability that a laser fails before 5000...

Q: The demand for water use in Phoenix in 2003 hit a high

The demand for water use in Phoenix in 2003 hit a high of about 442 million gallons per day on June 27 (http://phoenix.gov/WATER/wtrfacts.html).Water use in the summer is normally distributed with a m...

Q: The weight of a running shoe is normally distributed with a mean

The weight of a running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5 ounce. a. What is the probability that a shoe weighs more than 13 ounces? b. What must the...

Q: The diameter of the dot produced by a printer is normally distributed

The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch and a standard deviation of 0.0004 inch. a. What is the probability that the diameter of a dot...

Q: Assume that a random variable is normally distributed with a mean of

Assume that a random variable is normally distributed with a mean of 24 and a standard deviation of 2. Consider an interval of length one unit that starts at the value a so that the interval is [a, a...

Q: The length of stay at a specific emergency department in Phoenix,

The length of stay at a specific emergency department in Phoenix, Arizona, in 2009 had a mean of 4.6 hours with a standard deviation of 2.9. Assume that the length of stay is normally distributed. a....

Q: An article in Atmospheric Chemistry and Physics [“Relationship Between Particulate Matter

An article in Atmospheric Chemistry and Physics [“Relationship Between Particulate Matter and Childhood Asthma—Basis of a FutureWarning System for Central Phoenix” (2012, Vol. 12, pp. 2479–2490)] repo...

Q: An article in Microelectronics Reliability [“Advanced Electronic Prognostics through System Telemetry

An article in Microelectronics Reliability [“Advanced Electronic Prognostics through System Telemetry and Pattern Recognition Methods” (2007, Vol. 47(12), pp. 1865–1873)] presented an example of elect...