Introduction to Sampling Distribution
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Questions and Answers

What is the term used for the methods used to make decisions or draw conclusions about a population?

  • Sample Mean
  • Statistical Inference (correct)
  • Parameter Estimation
  • Hypothesis Testing
  • Which of the following is considered a random variable before the data is collected?

  • Sample Mean
  • Sample Variance
  • Population Parameter
  • Observations (correct)
  • What is the probability distribution of a statistic called?

  • Parameter Estimation
  • Sampling Distribution (correct)
  • Hypothesis Testing
  • Sample Mean
  • What is used to obtain a point estimate of a population parameter?

    <p>Sample Mean</p> Signup and view all the answers

    What method utilizes the information contained in a sample from the population in drawing conclusions?

    <p>Statistical Inference</p> Signup and view all the answers

    Which term refers to the process of making decisions or drawing conclusions about a population using sample data?

    <p>Statistical Inference</p> Signup and view all the answers

    What is the estimate for the mean of a single population?

    <p>(x̄) the sample mean</p> Signup and view all the answers

    What is the estimate for the difference in means of two populations?

    <p>(x̅_1 - x̅_2) the difference between the sample means of two independent random samples</p> Signup and view all the answers

    What is meant by the sampling distribution of the mean?

    <p>The probability distribution of (X̅)</p> Signup and view all the answers

    When will the normal approximation be satisfactory for the sampling distribution?

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

    What does the central limit theorem state?

    <p>The sampling distribution of the sample mean will still be approximately normal with mean µ and variance σ^2⁄n, if the sample size n is large</p> Signup and view all the answers

    What is the standard deviation of the sampling distribution of X̅, if σ = 10 and n = 25?

    <p>2.5</p> Signup and view all the answers

    What does Z=(X̅-μ)/(σ⁄√n) represent?

    <p>Standardization formula for X̅</p> Signup and view all the answers

    What does (s²) represent?

    <p>Central Limit Theorem expression</p> Signup and view all the answers

    How does Linear functions of independent normally distributed random variables behave?

    <p>Have a normal distribution with mean and variance</p> Signup and view all the answers

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