Question

A city manager wants

to know if city residents think the recreation center should have extended hours for teenagers. Which sample is likely to
se representative of the population of city residents?
A.) Roll a number cube to select one of the first six names in a list of females in the city, then select every ninth name.
B) Spin a spinner with sections labeled 1 through 5 to select one of the first five names in a list of people living alone in the city, the
select every 4th name.
C) Spin a spinner with section labeled 1 through 5 to select one of the first five names in a list of registered voters in the city, then
select every 9th name
D) Roll a number cube to select one of the first six names in a list of the city residents, then select every 15th name.

Answer 1

Option D) rolling a number cube to select a starting name from a list of city residents and then selecting every 15th name, offers the most representative sample of the population to determine if the recreation center should have extended hours for teenagers.

Step-by-step explanation:

To determine if city residents think the recreation center should have extended hours for teenagers, the survey must be representative of the general population, not just a specific group. Therefore, the best sampling method would be one that includes a diverse cross-section of the city's residents.

Looking at the given options, option D) seems to be the most appropriate and representative. It involves rolling a number cube to select one of the first six names in a list of the city residents, then selecting every 15th name. This method does not restrict the sample to a specific gender or demographic like options A) and B). Even though option C) considers registered voters which may represent the adult population well, it also skips those who are not registered to vote, potentially missing important segments of the population like the teenagers themselves or non-voting adults.

Therefore, the method described in option D) is likely to yield a sample that is more representative of the general population, including teenagers, when considering whether to extend recreation center hours.

Answer 2

A is the answer

Step-by-step explanation: