SAMPLING DISTRIBUTION AND ESTIMATION Quiz

What is sampling distribution?

• Probability distribution of a statistic based on a random sample

• The distribution of population in a given area

• The distribution of free samples at a store

• A type of music distribution

What is the purpose of estimation in statistics?

• To waste time and resources without any purpose

• To confuse researchers with inaccurate data

• To make wild guesses about a population

• To make inferences about a population based on a sample.

How is a sample different from a population?

• A sample is larger than the population.

• A sample is the same as the population.

• A sample is a subset of the population.

• A sample is unrelated to the population.

What is the mean of a sampling distribution?

• The mean of a sampling distribution is the median of all the sample means

• The mean of a sampling distribution is the range of all the sample means

• The mean of a sampling distribution is the mode of all the sample means

• The mean of a sampling distribution is the average of all the sample means taken from different samples of the same size from the population.

What is the standard error of a sampling distribution?

• It is not affected by the sample size

• It measures the variability of the sample mean.

• It measures the variability of the population

• It is always equal to the standard deviation of the population

What is the central limit theorem?

• The central limit theorem is a theory that states the distribution of sample means approaches a uniform distribution as the sample size gets larger.

• The central limit theorem is a statistical theory that states that the distribution of sample means approaches a normal distribution as the sample size gets larger, regardless of the shape of the population distribution.

• The central limit theorem is a theory that only applies to small sample sizes.

• The central limit theorem is a theory that states the mean of a sample will always be equal to the mean of the population.

What is point estimation?

• A method of statistical inference that provides an estimate of an unknown parameter based on multiple samples.

• A method of statistical inference that provides an exact value of an unknown parameter.

• A method of statistical inference that provides an estimate of an unknown parameter based on population data.

• A method of statistical inference that provides an estimate of an unknown parameter based on a single sample.

What is interval estimation?

• A method used to calculate the mean of a sample

• A type of statistical test used to compare two population means

• A range of values used to estimate an unknown population parameter

• A specific point estimate of a population parameter

What is the margin of error in estimation?

• Standard deviation of the sample

• Amount of random sampling error

• Size of the population

• Confidence interval

How is sampling distribution used in hypothesis testing?

• To compare the sample size with the population size

• To determine the population mean

• To calculate the standard deviation of the sample

• To determine the probability of obtaining a sample statistic if the null hypothesis is true.