Sampling Proportions Vs. Sampling Means

Front

What is the mean of a sampling distribution of sample means?

Back

The mean of a sampling distribution of sample means is equal to the population mean.

Front

What is the difference between a sample mean and a sample proportion?

Back

A sample mean is the average of a numerical dataset, while a sample proportion is the ratio of a specific category to the total sample size.

Front

Define 'population parameter'.

Back

A population parameter is a numerical value that summarizes a characteristic of a population, such as the population mean or population proportion.

Front

Define 'sample statistic'.

Back

A sample statistic is a numerical value that summarizes a characteristic of a sample, such as the sample mean or sample proportion.

Front

What does a standard deviation measure in a sampling distribution?

Back

The standard deviation measures the variability or dispersion of sample means around the population mean.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large, regardless of the population's distribution.

Front

What is a sampling distribution?

Back

A sampling distribution is the probability distribution of a statistic (like the sample mean) obtained from a large number of samples drawn from a specific population.

Front

When would you use a sample proportion instead of a sample mean?

Back

You would use a sample proportion when dealing with categorical data, where you are interested in the ratio of a specific category within the sample.

Front

What is the formula for calculating a sample proportion?

Back

The sample proportion (p̂) is calculated as p̂ = x/n, where x is the number of successes and n is the total sample size.

Front

What is the significance of a 95% confidence interval?

Back

A 95% confidence interval means that if we were to take many samples and build intervals, approximately 95% of those intervals would contain the true population parameter.