Sampling distributions

At a particular college, 78% of all students are receiving some kind of financial aid. The school newspaper selects a random sample of 200 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

• 78% is a population and 72% is a sample.

• 72% is a population and 78% is a sample.

• 78% is a parameter and 72% is a statistic.

• 72% is a parameter and 78% is a statistic.

Tags

CCSS.HSS.IC.B.3

A statistic is an unbiased estimator of a parameter when

• the statistic is calculated from a random sample.

• in a single sample, the value of the statistic is equal to the value of the parameter.

• in many samples, the values of the statistic are very close to the value of the parameter.

• in many samples, the values of the statistic are centered at the value of the parameter.

• in many samples, the distribution of the statistic has a shape that is approximately normal

Increasing the sample size of an opinion poll will reduce the

• bias of the estimates made fro the data collected in the poll

• variability of the estimates made from the data collected in the poll

• effect of nonresponse of the poll

• variability of opinions in the sample

• variability of opinions in the population

Classify each of the specified numbers as a parameter or a statistic.

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a...

• Statistic

• Parameter

• Sample

• Population

Tags

CCSS.HSS.IC.B.3

Classify each of the specified numbers as a parameter or a statistic.

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 44 is a...

• Statistic

• Parameter

• Sample

• Population

Tags

CCSS.HSS.IC.B.3

In a 2011 Gallup poll of 1008 adults living in the United States, 11% said they are satisfied with the condition of the national economy. The 11% here is a

• Sample

• Population

• Statistic

• Parameter

Tags

CCSS.HSS.IC.B.3

In a 2011 Gallup poll of 1008 adults living in the United States, 11% said they are satisfied with the condition of the national economy. The 1008 is a

• Sample

• Population

• Statistic

• Parameter

Tags

CCSS.HSS.IC.B.3

The data from all 36 students in Ms. Dunham's second grade class have a mean height of 64 inches with a standard deviation of 1.3 inches. The 1.3 inches is a

• Sample

• Population

• Statistic

• Parameter

Tags

CCSS.6.SP.A.3

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. 

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

• The Population
• The Sample
• The Sampling Distribution