Unit03-05-SampleSizes

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Two competing news stations, FIX News and NNC are trying to determine if the democratic or republican candidate is predicted to win the upcoming election in a small county. They both used a valid random sampling of the voting population. FIX News used a sample size of 50 and NNC use a sample size of 100.

Which news station is more likely to have a more accurate prediction?

a.	FIX News
b.	NNC
c.	They are both equally likely to be correct since they used a random sample.

Two companies, “Political Analysts Inc.” and “Aristotle’s Data Company” conduct and analyze political data.

Political Analysts Inc. took a random sample of 2,890 registered voters in Georgia and found that the sample suggested the current governor had a 51% approval rating from voters.

Aristotle’s Data Company took a random sample of 980 registered voters in Georgia and found that the sample suggested the current governor had a 58% approval rating from voters.

Which sample statistic of the approval rating is more likely to be a better representation of the population parameter?

a.	Political Analysts Inc.
b.	Aristotle’s Data Company
c.	They are both equally likely to be a good representation since they both used a random sample.

The average age of a student at Central High School is 16.5 years old () with a standard deviation of 1.5 (). If samples of size 9 (n =9) were taken from the population what would be the mean of the sample means ?

a.	14	c.	16.5
b.	15.5	d.	18

A high school student spends an average of 6 hours () on their phone a day with a standard deviation of 2.5 hours (). If samples of size 16 (n =16) were taken from the population what would be the standard deviation of the sample means ?

a.	0.156	c.	0.625
b.	0.500	d.	2.500

Is the following statement TRUE or FALSE?

“For a given population the mean of the sample means () never changes as the sample size (n) changes.”

TRUE

FALSE