At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

78% is a parameter and 72% is a statistic

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

72% is a population and 78% is a sample

72% is a parameter and 78% is a statistic

Why do we randomly select our samples?

so we don't get the same answers from everyone

to eliminate confounding results

The population describes:

The group of people, objects or events being surveyed

part of the group being surveyed

The sampling distribution of a statistic is...

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

Using repeated samples and finding a probabilitity

The way that sample results differe from each other

the distribution of values in a sample of size n

A statistic is biased if...

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

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 equal to the vali

A recent survey finds that 35% of US households have at least one dog. You randomly choose 50 households to ask if they have a dog. Could you use the Normal Approximation for this?

Yes, both np and n(1-p) are at least 10

When can we use the formula for σ?

When the population is at least 10 times as large as the sample

When the sample is at least 1/10th of the population

When the population is at least 5 times as large as the sample

When the sample is at least 1/5th of the population

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

It becomes narrower and more normal.

It becomes narrower and less normal

It becomes wider and more normal

It becomes wider and less normal.

Portly Polls is taking a poll on whether twins have eaten a sandwich for lunch. Is this a proportion problem or a situation involving means? Why?

proportion -- we are looking for a yes/no

means -- we are looking at averages

means -- we are looking for a yes/no

proportion -- we are looking at averages

Picky Polls is taking a poll on how many TVs twins own on average. Is this a proportion problem or a situation involving means? Why?

means -- we are looking at averages

means -- we are looking for a yes/no

proportion -- we are looking at averages

proportion -- we are looking for a yes/no

When are you looking at a mean based problem?

When the collected information consists of numbers

When the collected information consists of two options (yes and no for example)

When the questions consist of numbers

When the questions consist of two options (yes and no for example)

AP Statistics Chapter 7: Sampling Distributions

Mathematics

11th - 12th Grade

CCSS covered

Used 239+ times

AP Statistics Chapter 7: Sampling Distributions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the mean of the sampling distribution?

200

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A statistic is an unbiased estimator of a parameter when

the statistic is calculated from a random sample.

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

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 centered at the value of the parameter.

Tags

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The Population

The Sample

The Sampling Distribution

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

The Population

The Sample

The Sampling Distribution

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowel, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p-hat be the proportion of vowels in her sample.
Is the 10% condition met in this case?

Yes.

No.

Not enough info to determine.

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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AP Statistics Chapter 7: Sampling Distributions

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. What is the mean of the sampling distribution?

A statistic is an unbiased estimator of a parameter when

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

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

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowel, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p-hat be the proportion of vowels in her sample. Is the 10% condition met in this case?

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

Why do we randomly select our samples?

The population describes:

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The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
What is the mean of the sampling distribution?

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowel, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p-hat be the proportion of vowels in her sample.
Is the 10% condition met in this case?