Sampling Distribution Flashcard

Front

What is the sampling distribution of sample mean?

Back

It is the probability distribution of the sample mean for all possible samples of a certain size from a population.

Front

What is the effect of sample size on the variability of the sample mean as a point estimator?

Back

A sample of size 25 will produce more variability of the estimator than a sample of size 50.

Front

What is the probability that an SRS of 36 runners will have a mean completion time greater than 34 minutes if the mean is 32.1 minutes and standard deviation is 10.2 minutes?

Back

.1319

Front

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

Back

It becomes narrower and more normal.

Front

Identify the Sample: A restaurant surveys 20 customers at random to know if they buy dessert when eating out. What is the sample?

Back

20 customers.

Front

Define 'Sampling Distribution'.

Back

The distribution of a statistic (like the sample mean) obtained by selecting all possible samples from a population.

Front

What is the Central Limit Theorem?

Back

The theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population's distribution.

Front

What is a Simple Random Sample (SRS)?

Back

A sample in which each member of the population has an equal chance of being selected.

Front

Explain the concept of 'Point Estimate'.

Back

A single value estimate of a population parameter, such as the sample mean as an estimate of the population mean.

Front

What is the relationship between sample size and the standard error of the mean?

Back

As the sample size increases, the standard error of the mean decreases.