Which of the following best describes a sampling distribution of a statistic?

It is the distribution of all of the statistics calculated from all possible samples of the same size.

It is the probability that the sample statistic equals the parameter of interest.

It is the probability distribution of all the values that are contained in all possible samples of the same size.

It is the histogram of sample statistics from all possible samples of the same size.

The conditions that np > 10 and n(1 - p) > 10 are imposed on a sampling distribution to protect against

a sample that is not representative of the population.

bias in the responses of the sample participants.

The conditions are not designed to protect against any of these conditions.

Which of the following is an incorrect statement?

The sampling distribution of x̄ has mean equal to the population mean μ even if the population is not normally distributed.

The sampling distribution of x̄ has standard deviation σ / √n even if the population is not normally distributed.

The sampling distribution of x̄ is normal if the population has a normal distribution.

When n is large, the sampling distribution of x̄ is approximately normal even if the population is not normally distributed.

Sampling Distributions Review

Authored by Bruce Durflinger

Mathematics

10th - 12th Grade

CCSS covered

Used 9+ times

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21 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

The skew gets bigger

The skew is reversed

It becomes narrower and more normal.

The shape is the same, but wider

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the mean of the sampling distribution?

400

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the standard deviation of the sampling distribution?

400

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

The Population

The sample

The sampling distribution (mean)

The sampling distribution (proportion)

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

The Population

The Sample

The sampling distribution (mean)

The sampling distribution (proportion)

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.IC.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the standard deviation of the distribution?

1010

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean and standard deviation of a population are 200 and 20, respectively.
What is the probability of selecting 25 data values with a mean less than 190?

0.62%

2.28%

97.72%

99.38%

Tags

CCSS.HSS.ID.A.4

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Sampling Distributions Review

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

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the mean of the sampling distribution?

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the standard deviation of the sampling distribution?

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?

What is the standard deviation of the distribution?

The mean and standard deviation of a population are 200 and 20, respectively.
What is the probability of selecting 25 data values with a mean less than 190?

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?

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

Researches found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season. What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Sampling Distributions Review

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

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the mean of the sampling distribution?

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.What is the standard deviation of the sampling distribution?

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?

What is the standard deviation of the distribution?

The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting 25 data values with a mean less than 190?

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?

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

Researches found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season. What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the mean of the sampling distribution?

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the standard deviation of the sampling distribution?

The mean and standard deviation of a population are 200 and 20, respectively.
What is the probability of selecting 25 data values with a mean less than 190?

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?

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