Sampling Distribution and Estimation Quiz

What is the characteristic that summarizes a set of measurements in a population called?

• Sample

• Statistic

• Mean

• Parameter

What symbol represents the population mean?

• S

• μ

• X̄

• σ

What is the main objective of statistics mentioned in the text?

• Data collection

• Estimation of population parameters

• Hypothesis testing

• Data visualization

What is the formula for the sample mean?

• ΣX²/n

• ΣX/n

• X̄ = ΣX/n

• X/n

What does the Central Limit Theorem state about sample means?

• They are always normally distributed

• They will be approximately normal if n is large

• They are equal to the population mean

• They have a variance of zero

What is the standard deviation of the sampling distribution of the sample mean represented by?

• S/n

• σ/n

• S

• σ

What is a point estimate of the population mean?

• Sample mean

• Population mean

• Standard deviation

• Variance

What is the confidence level for a 95% confidence interval?

• 0.025

• 0.01

• 0.10

• 0.05

What is the formula for a 99% confidence interval for the population mean?

• X̄ ± 3.00(σ/n)

• X̄ ± 1.65(σ/n)

• X̄ ± 1.96(σ/n)

• X̄ ± 2.58(σ/n)

What does a narrow confidence interval indicate?

• High variability

• Low variability

• Low sample size

• High sample size