Asked by SYDNEY BOHLES on Jun 12, 2024

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Which of the following distributions is considered the cornerstone distribution of statistical inference?

A) Binomial distribution
B) Normal distribution
C) Poisson distribution
D) Uniform distribution
E) Geometric distribution

Statistical Inference

The process of drawing conclusions about population parameters based on a sample taken from the population.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states under a given number of observations.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely; in a continuous uniform distribution, any value within a specified range is equally likely to occur.

  • Distinguish among various probability distributions and recognize circumstances in which the normal distribution is applicable.
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AK
Aishat KokereJun 18, 2024
Final Answer :
B
Explanation :
The normal distribution is considered the cornerstone distribution of statistical inference because it has several properties that make it convenient for making statistical inferences. It is symmetric, unimodal, and bell-shaped, and it has well-defined parameters that can be used for hypothesis testing and estimation. Additionally, many statistical methods and tests, such as the t-test and ANOVA, assume that data are normally distributed.