Asked by Sonia Nelson on May 27, 2024

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When constructing confidence interval estimate of μ,doubling the sample size n decreases the width of the interval by half.

Confidence Interval

A variety of values, sourced from sample statistics, with a high likelihood of containing an undetermined population parameter's value.

Sample Size

The number of observations or elements selected from a population to be analyzed.

Population Mean

The average of a set of values in an entire population, representing the central tendency of the population.

  • Recognize the influences on the extent of a confidence interval, covering the confidence level, sample size, and population standard deviation.
  • Identify the effects of alterations in sample size and population standard deviation on the confidence interval.
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Anisha RohatgiMay 30, 2024
Final Answer :
False
Explanation :
Doubling the sample size decreases the standard error of the mean (since it is inversely proportional to the square root of the sample size), which in turn decreases the width of the confidence interval, but not by half. The decrease is less than half because the relationship is not linear but based on the square root of the sample size.