Stats in Your World

A statistic is an unbiased estimator of a parameter if

• its sampling distribution is approximately Normal.

• the mean of its sampling distribution equals the value of the parameter being estimated.

• the value of the statistic from any sample equals the value parameter being estimated.

• the sample is sufficiently large.

The sampling distribution of a statistic is

• the probability that we obtain the statistics in repeated samples.

• the distribution of values in a sample of size n from a population.

• the distribution of values in the population.

• the distribution of values taken by a statistic in all possible samples of the same size from the same population.

Which symbol represents the mean of a sample?

• x̄

• p̂

• μ

• p

Which symbol represents the mean of a population?

• x̄

• p̂

• μ

• p

Which symbol represents a population proportion?

• x̄

• p̂

• μ

• p

Which symbol represents a sample proportion?

• x̄

• p̂

• μ

• p

Which of the following represent statistics?

• ^{x̄, p̂, μ, and p}

• μ and p only

• x̄ and p̂ only

• p̂ and p only

• x̄ and μ only

Which of the following represent parameters?

• ^{x̄, p̂, μ, and p}

• μ and p only

• x̄ and p̂ only

• p̂ and p only

• x̄ and μ only

What are the mean and standard deviation of the sampling distribution of x̄?

• μ and σ

• μ and σ/√n

• x̄ and σ

• x̄ and σ/√n

What are the mean and standard deviation of the sampling distribution of p̂?

• p̂ and σ/√n

• p̂ and √(p(1-p)/n)

• p and σ/√n

• p and √(p(1-p)/n)