Introduction to Statistics: Population Parameters
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Questions and Answers

What is the key difference between population parameters and sample statistics?

  • Population parameters are unique, while sample statistics vary with different samples. (correct)
  • Population parameters measure nonsampling errors, while sample statistics measure sampling errors.
  • Population parameters have a range of values, while sample statistics have a single value.
  • Population parameters estimate the spread of data, while sample statistics estimate the average.

In the context of statistics, what do nonsampling errors refer to?

  • Errors arising from the difference between sample statistics and population parameters.
  • Errors in estimating population parameters.
  • Errors occurring due to incorrect sampling methods.
  • Errors in the collection and processing of data. (correct)

Why do sampling errors only occur in sample surveys and not in censuses?

  • Sampling errors are minimized in censuses due to rigorous data collection methods.
  • Censuses involve the entire population, so there is no need for sampling. (correct)
  • Censuses use sampling methods that eliminate sampling errors.
  • Censuses rely on sample statistics rather than population parameters.

What is the purpose of using rigorous methods in estimating sample statistics?

<p>To make sample statistics good estimations of population statistics. (B)</p> Signup and view all the answers

Why do nonsampling errors occur according to the text?

<p>Through mistakes made by the surveyor in data collection and processing. (A)</p> Signup and view all the answers

How can nonsampling errors be minimized in statistical surveys?

<p>By ensuring accurate and careful data collection procedures. (A)</p> Signup and view all the answers

What is the relationship between the mean of the sampling distribution of x and the mean of the population?

<p>They are always equal (C)</p> Signup and view all the answers

When is the standard deviation of x equal to the standard error of x?

<p>When n is small compared to N (D)</p> Signup and view all the answers

What condition must be met for the sampling distribution of x to be approximately normal?

<p>n ≥ 30 (A)</p> Signup and view all the answers

In the context of the Central Limit Theorem, what happens if X is not normally distributed?

<p>The sampling distribution of x will also be normally distributed (A)</p> Signup and view all the answers

Under what condition does σx = √(σ/n) hold true?

<p>When n ≥ 30 (C)</p> Signup and view all the answers

What is the significance of using a threshold of 5% for 'small' sample size in comparison to population size?

<p>To determine when σx = √(σ/n) holds true (A)</p> Signup and view all the answers

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