Asked by Lacey Johnson on Jun 26, 2024

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The t-distribution allows the calculation of confidence intervals for means for small samples when the population variance is not known, regardless of the shape of the distribution in the population.

T-Distribution

A probability distribution used in statistics for estimating population parameters when the sample size is small and the population variance is unknown.

Confidence Intervals

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter, expressed with a certain level of confidence.

Population Variance

A measure of the spread of a population's values, calculated as the average squared deviation from the population mean.

  • Separate the characteristics of t-distribution from those of the normal distribution, and understand the criteria for their respective uses.
  • Understand how sample size affects the estimation precision and hypothesis testing.
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Marileidy TejedaJun 28, 2024
Final Answer :
False
Explanation :
The t-distribution is used for calculating confidence intervals for means for small samples when the population variance is unknown, but it assumes that the underlying population distribution is approximately normal.