A z-score tells you...

how many standard deviations away from the mean a score lies.

the standard deviation of a sampling distribution.

the original raw score on which it is based.

if the distribution it comes from is normal.

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

A recent survey finds that 15% 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

In one region of the country, the mean length of stay in hospitals is 5.5 days with standard deviation 2.6 days. Because many patients stay in the hospital for considerably more days, the distribution of length of stay is strongly skewed to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, x, recorded for each sample. Which of the following is the best description of the sampling distribution of x ?

Approximately normal with mean 5.5 days and standard deviation 0.26 day

Strongly skewed to the right with mean 5.5 days and standard deviation 2.6 days

Strongly skewed to the right with mean 5.5 days and standard deviation 0.26 day

Strongly skewed to the right with mean 5.5 days and standard deviation 0.026 day

Approximately normal with mean 5.5 days and standard deviation 2.6 days

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean?

Approximately normal with mean $206,274 and standard deviation $3,788

Approximately normal with mean $206,274 and standard deviation $37,881

Approximately normal with mean $206,274 and standard deviation $520

Strongly right-skewed with mean $206,274 and standard deviation $3,788

Strongly right-skewed with mean $206,274 and standard deviation $37,881

A recent study was conducted to investigate the duration of time required to complete a certain manual dexterity task. The reported mean was 10.2 seconds with a standard deviation of 16.0 seconds. Suppose the reported values are the true mean and standard deviation for the population of subjects in the study. If a random sample of 144 subjects is selected from the population, what is the approximate probability that the mean of the sample will be more than 11.0 seconds?

Based on the values of the true mean and true standard deviation, it can be concluded that the population distribution is not normal and therefore the probability cannot be calculated.

A manufacturer of cell phone batteries claims that the average number of recharge cycles for its batteries is 400. A consumer group will obtain a random sample of 100 of the manufacturer’s batteries and will calculate the mean number of recharge cycles. Which of the following statements is justified by the central limit theorem?

The distribution of the sample means of the number of recharge cycles is approximately normal because the sample size of 100 is greater than 30.

The distribution of the number of recharge cycles for the sample is approximately normal because the population mean of 400 is greater than 30.

The distribution of the number of recharge cycles for the sample is approximately normal because the sample size of 100 is greater than 30.

The distribution of the number of recharge cycles for the population is approximately normal because the sample size of 100 is greater than 30.

The distribution of the sample means of the number of recharge cycles is approximately normal because the population mean of 400 is greater than 30.

Increasing the sample size of an opinion poll will reduce the

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

bias of the estimates made from the data collected in the poll.

variability of opinions in the sample.

variability of opinions in the population.

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 nq are at least 10

No, either np or nq is less than 10

No, we've sampled more than 10% of all households

Yes, we've sampled less than 10% of all households

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Is it more likely to find one student that travels more than 6 miles to school or a mean of a sample of 29 students that travel more than 6 miles?

It is more likely to find 1 student that travels more than 6 miles to school

It is more likely to find a sample of 29 students whose mean is greater than 6 miles

There is not enough information to answer this question

AP Stat Sampling Distribution Means and Proportions

Authored by Barbara White

Mathematics

11th - 12th Grade

AP Stat Sampling Distribution Means and Proportions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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?

phat

standard deviation

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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 28 represent?

p-hat

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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 population mean

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

The Population

The Sample

The Sampling Distribution

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

The Population

The Sample

The Sampling Distribution

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AP Stat Sampling Distribution Means and Proportions

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?

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 28 represent?

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

The sampling distribution of a statistic is...

A statistic is unbiased if...

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?

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?

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?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

AP Stat Sampling Distribution Means and Proportions

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?

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 28 represent?

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

The sampling distribution of a statistic is...

A statistic is unbiased if...

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?

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?

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?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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?