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  1. A comprehensive collection of the most common symbols in probability and statistics, categorized by function into charts and tables along with each symbol's term, meaning and example.

  2. A decision rule typically involves comparing a test statistic to a critical value derived from a significance level. The choice of a decision rule directly impacts the probabilities of committing Type I and Type II errors.

  3. What is a Decision Rule? A decision rule is a guideline or criterion that helps in making choices based on specific conditions or data inputs. In the context of statistics, data analysis, and data science, decision rules are essential for interpreting data and making informed decisions.

  4. 5 days ago · Multiplication Rule. Imagine a small restaurant whose menu has \(3\) soups, \(6\) entrées, and \(4\) desserts. How many possible meals are there? The answer is calculated by multiplying the numbers to get \(3 \times 6 \times 4 = 72\). You can think of it as first there is a choice among \(3\) soups.

  5. The probability of an event, which informs us of the likelihood of it occurring, can range anywhere from 0 (indicating that the event will never occur) to 1 (indicating that the event is certain). Probability Rule One: For any event A, 0 ≤ P (A) ≤ 1.

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  6. A decision rule spells out the circumstances under which you would reject the null hypothesis. The null hypothesis is the backup ‘default hypothesis’, typically the commonly accepted idea which your research is aimed at disproving.

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  8. Oct 7, 2021 · The decision rule refers to the procedure followed by analysts and researchers when determining whether to reject or not to reject a null hypothesis. We use the phrase “not to reject” because it is considered statistically incorrect to “accept” a null hypothesis. Rather, we can only assemble enough evidence to support it.

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