Sampling Distributions

Front

What is a sampling distribution?

Back

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

Front

What is the mean of the sampling distribution of p-hat?

Back

The mean of the sampling distribution of p-hat is equal to the population proportion (p).

Front

What is the standard deviation of the sampling distribution of p-hat?

Back

The standard deviation of the sampling distribution of p-hat is calculated using the formula: sqrt[(p(1-p)/n)], where p is the population proportion and n is the sample size.

Front

What is a z-score?

Back

A z-score indicates how many standard deviations a data point is from the mean of the distribution.

Front

What does 'n' represent in sampling?

Back

'n' represents the sample size, or the number of observations in the sample.

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 shape of the population distribution.

Front

What is the condition for a sampling distribution to be approximately normal?

Back

The sampling distribution of p-hat is approximately normal if both np and n(1-p) are greater than or equal to 10.

Front

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

Back

As the sample size increases, the shape of the sampling distribution becomes narrower and more normal.

Front

What is the difference between p and p-hat?

Back

p is the population proportion, while p-hat is the sample proportion.

Front

What is the formula for the standard error of the sample mean?

Back

The standard error of the sample mean is calculated as: SE = sigma/sqrt(n), where sigma is the population standard deviation and n is the sample size.