Sampling variability refers to which of the following?

Answer: The natural variation in a statistic from one random sample to another. Sampling variability is the natural variation in a sample statistic across repeated random samples from the same population.

A sampling distribution is the distribution of

Answer: A statistic across many random samples of the same size Imagine drawing many samples and computing the same statistic each time.

To reduce variability of a sample statistic, you should

Answer: Increase n Variability of sample statistics decreases with √n.

AP Statistics · Topic 5.1

Introducing Statistics: Why Is My Sample Not Like Yours? Practice

Part of Sampling Distributions.(VAR-1.F)

Practice questions

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Sample questions

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Sample 1difficulty 1/5
$A teacher selects five different random samples of 25 students each from a school and computes x̄ for each sample. The five values differ.$
$Sampling variability refers to which of the following?$
- A
  $Variation within a single sample.$
- B
  $Bias introduced by a flawed sampling design.$
- C
  $The natural variation in a statistic from one random sample to another.$
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- D
  $Differences in measurement instruments.$
Why
$Sampling variability is the natural variation in a sample statistic across repeated random samples from the same population.$
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Sample 2difficulty 2/5
$A sampling distribution is the distribution of$
- A
  $The population$
- B
  $A single sample$
- C
  $A statistic across many random samples of the same size$
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- D
  $Confidence intervals$
Why
$Imagine drawing many samples and computing the same statistic each time.$
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Sample 3difficulty 3/5
$To reduce variability of a sample statistic, you should$
- A
  $Increase n$
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- B
  $Decrease n$
- C
  $Use convenience sampling$
- D
  $Use a smaller population$
Why
$Variability of sample statistics decreases with \sqrtn.$
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Sample 4difficulty 3/5
$Sampling distributions provide the foundation for$
- A
  $Convenience sampling$
- B
  $Sampling design only$
- C
  $Confidence intervals and significance tests$
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- D
  $Descriptive statistics only$
Why
$Inference relies on knowing how a statistic varies across samples.$
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Sample 5difficulty 3/5
$"Sampling error" refers to$
- A
  $Bias from poor data collection$
- B
  $Outliers$
- C
  $Mistakes in coding$
- D
  $Variability between random samples$
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Why
$Sampling error is inherent random variability among samples.$
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