AP Stats Sampling Distributions

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. 
What is the mean of the sampling distribution of p-hat?

• 0.4
• 0.44
• 0.56
• 0.6

28% of all Woodrow students believe Monday will be a 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

• p-hat

• standard deviation

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

• p

• p-hat

• standard deviation

• 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 of sample proportions.

• 0.0116

• 0.0117

• 0.0118

• 0.0119

What happens to the shape of a sampling distribution of sample means as n increases?

• It becomes narrower and bimodal.
• It becomes narrower and more normal.
• It becomes wider and skewed right. 
• It becomes wider and more normal. 

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

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

A statistic is unbiased if...

• the value of the statistic from any sample is NOT equal to the parameter

• The value of the statistic from any sample IS equal to the parameter

• The mean of the sampling distribution is NOT equal to the true value of the parameter

• The mean of the sampling distribution IS equal to the value of the parameter.

Increasing the sample size of an opinion poll will reduce the

• bias of the estimates made from the data collected in the poll.
• variability of the estimates made from the data collected in the poll.
• variability of opinions in the sample.
• variability of opinions in the population.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

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

• The Population

• The Sample

• The Sampling Distribution of sample means

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

• The Population

• The Sample

• The Sampling Distribution of sample means