AP Statistics Sampling Review

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

Vermont is particularly beautiful in early October when the leaves begin to change color. In October, a large proportion of cars on Interstate 91 near Brattleboro have out-of-state license plates. Suppose we randomly select 50 cars driving past Exit 2 on I-91, and calculate the proportion of cars with out-of-state plates. Which of the following describes the sampling distribution of the sample proportion in this context?

• The distribution of state for all cars in the sample of cars passing this exit

• The distribution of state for all cars passing this exit

• The distribution of the proportion of cars with out-of-state plates in all possible samples of 50 cars passing this exit

• The distribution of the proportion of cars with out-of-state plates in the sample of 50 cars passing this exit

The student newspaper at a large university asks an SRS of 250 undergraduates, "Do you favor eliminating the carnival from the end-of-term celebration?" In the sample, 150 of the 250 undergraduates are in favor. Suppose that 55% of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n = 250 from the population, the sampling distribution of the sample proportion p̂ would have which of the following characteristics?

• Mean 0.55, standard deviation 0.03, shape unknown

• Mean 0.55, standard deviation 0.03, approximately normal

• Mean 0.60, standard deviation 0.03, shape unknown

• Mean 0.60, standard deviation 0.03, approximately normal

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

Involves dividing the population into subgroups, you randomly select entire subgroups. What sampling technique is this?

• Simple Random Sample

• Snowball Sample

• Cluster Random Sample

• Stratified Random Sample

The school district is interested in finding out student and parent opinions about the dress code.  They obtain a list of students from each school in the district and put them in alphabetical order.  They then send a survey to every 25th student and their parents on the list.

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Sampling

• Convenience Sampling

Includes the individuals who happen to be most accessible to the researcher. What sampling technique is this?

• Stratified sampling

• Snowball sampling

• Voluntary response sampling

• Convenience sampling

The school district is interested in finding out student and parent opinions about the dress code. They obtain a list of students from each school in the district and put them in alphabetical order. They then send a survey to every 25th student and their parents on the list.

• Simple Random Sampling

• Stratified Random Sampling

• Systematic Sampling

• Convenience Sampling