Question

The state of Mississippi only has 60% seatbelt use. Suppose you randomly select a resident from Mississippi and note their seatbelt use. Call this random variable Y. How does SD(X) compare with SD(Y)

Answer 1

Population and Sample

Explanation:

The state of Mississippi is the population

The randomly selected resident is the sample

Population Belt Use: 60%

Population No-belt Use: 40%

Sample (selected resident's) Seat-belt Use = Y

Note: the question doesn't state or ask whether Y is positive (use of seat belt) or negative (no use of seat belt).

How does the standard deviation of X compare with the standard deviation of Y?

X is the population standard deviation of seat belt use from the mean value of seat belt use WHILE Y is the sample standard deviation of seat belt use from the mean value (of all persons in the sample) of seat belt use.