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Calculating Confidence Intervals for Population Mean
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Calculating Confidence Intervals for Population Mean

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Questions and Answers

What is the correct formula for calculating the margin of error (EBM) for a population sampled mean X?

  • (EBM = Point estimate - 2.5) (correct)
  • (Point estimate + EBM = 2.5)
  • (EBM = Point estimate * 2.5)
  • (Point estimate - EBM = 2.5)
  • How does the margin of error (GIM) depend on the confidence level (CL)?

  • GIM decreases as CL decreases
  • GIM is not affected by CL
  • GIM increases as CL decreases
  • GIM increases as CL increases (correct)
  • Which term refers to the error bound for a population sampled mean X?

  • Point estimate
  • Confidence level
  • EBM (correct)
  • Margin of error (GIM)
  • If a sample mean is 15, and the error bound for the mean is 3.2, what is the confidence interval estimate for the population mean?

    <p>(15 - 3.2, 15 + 3.2) = (11.8, 18.2)</p> Signup and view all the answers

    What is the primary focus of the group of researchers mentioned in the text?

    <p>Studying the impact of industrial chemicals on brain health</p> Signup and view all the answers

    In the study mentioned, how were industrial compounds most likely entering the infants' bodies?

    <p>Via pollution exposure</p> Signup and view all the answers

    What type of toxicity was NOT mentioned as being linked to the industrial compounds found in infants' cord blood?

    <p>Genetic toxicity</p> Signup and view all the answers

    Based on the data provided, how would you interpret a 90% confidence interval for the mean number of targeted industrial chemicals found in an infant's blood?

    <p>There is a 90% chance that the true mean falls within this interval</p> Signup and view all the answers

    Study Notes

    Margin of Error and Confidence Interval

    • The formula for calculating the margin of error (EBM) for a population sampled mean X is not provided in the text.
    • The margin of error (GIM) depends inversely on the confidence level (CL), meaning that a higher confidence level results in a larger margin of error.
    • The term "error bound" refers to the margin of error for a population sampled mean X.

    Confidence Interval Estimate

    • If a sample mean is 15, and the error bound for the mean is 3.2, the confidence interval estimate for the population mean is 15 ± 3.2.

    Research Study

    • The primary focus of the group of researchers mentioned in the text is not specified.
    • Industrial compounds were most likely entering the infants' bodies through their mothers' bodies.
    • Neurotoxicity was not mentioned as being linked to the industrial compounds found in infants' cord blood.

    Confidence Interval Interpretation

    • A 90% confidence interval for the mean number of targeted industrial chemicals found in an infant's blood means that 90% of the time, the true population mean is expected to be within the interval.

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    Description

    This quiz covers the calculation of confidence intervals for a single unknown population mean, where the population standard deviation is known. Questions involve estimating the population mean, determining the margin of error, and understanding the confidence level. Test your knowledge on confidence intervals in statistics!

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