AP Statistics Sampling Distributions

The sampling distribution of a statistic is...

• Using repeated samples and finding a probabilitity

• The distribution of values taken by a statistic in all possible samples of the same sample size from the same population

• The way that sample results differe from each other

• the distribution of values in a sample of size n

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
Calculate the standard deviation of the sampling distribution.  (Check to see if the 10% condition is met first)

• 0.0116

• 0.0117

• 0.0118

• 0.0119

78% of flights on major airlines arrive on time. A random sample was taken of 100 flights.

Find the probability that more than 70% of the 100 randomly selected flights are on time.

• 0.5077

• 0.0267

• 0.9999

• 0.9733

What does this symbol represent?

• population proportion

• parameter

• sample proportion

• population sample

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

• The Population

• The Sample

• The Sampling Distribution

28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent? 

• n

• P

• phat

• standard deviation

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

• The Population

• The Sample

• The Sampling Distribution

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
Calculate the standard deviation of the sampling distribution. 

• 0.0116

• 0.0117

• 0.0118

• 0.0119

53.2% of applicants are accepted into UConn. In a sample of 100 UConn applicants, 45 of them were accepted. What is the parameter?

• All UConn applicants.

• The 100 applicants in the sample.

• 53.2% acceptance rate.

• 45% of accepted in sample.

28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. (The sample proportion is 15/50 or .3) What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day?

• 0.376

• Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal

• 0.624

• 0.99999