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13: Statistical Tables

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    • 13.1: The Binomial Distribution Table for n = 2 to n = 10
      A binomial distribution table is a tool used to find the probability of getting a specific number of successes in a fixed number of repeated trials, where each trial has only two possible outcomes, like success or failure. The table shows the likelihood of getting each possible outcome based on how often the experiment is repeated and the chance of success in each trial. The following table lists the binomial probabilities for n = 2 to n = 10.
    • 13.2: The Binomial Distribution Table for n = 11 to n = 15
      A binomial distribution table is a tool used to find the probability of getting a specific number of successes in a fixed number of repeated trials, where each trial has only two possible outcomes, like success or failure. The table shows the likelihood of getting each possible outcome based on how often the experiment is repeated and the chance of success in each trial. The following table lists the binomial probabilities for n = 11 to n = 15.
    • 13.3: The Binomial Distribtution Table for n = 16 to n = 18
      A binomial distribution table is a tool used to find the probability of getting a specific number of successes in a fixed number of repeated trials, where each trial has only two possible outcomes, like success or failure. The table shows the likelihood of getting each possible outcome based on how often the experiment is repeated and the chance of success in each trial. The following table lists the binomial probabilities for n = 16 to n = 18.
    • 13.4: The Binomial Distribution Table for n = 19 to n = 20
      A binomial distribution table is a tool used to find the probability of getting a specific number of successes in a fixed number of repeated trials, where each trial has only two possible outcomes, like success or failure. The table shows the likelihood of getting each possible outcome based on how often the experiment is repeated and the chance of success in each trial. The following table lists the binomial probabilities for n = 19 to n = 20.
    • 13.5: The Standard Normal Distriubtion Table for Negative Z-Values
      The standard normal distribution table for negative z-values helps find the probability, or area, to the left of a given negative z-score on the normal curve. Since the normal distribution is symmetric, negative z-values represent positions to the left of the mean. The table shows how much of the total area under the curve lies below a specific z-score. This area represents the cumulative probability, or the likelihood that a value falls below that z-score.
    • 13.6: The Standard Normal Distribution Table for Positive Z-Values
      The standard normal distribution table for positive z-values shows the cumulative probability, or the area under the curve, to the left of a given positive z-score. Positive z-values represent positions to the right of the mean on the standard normal curve. The table helps determine the likelihood that a randomly selected value falls below a certain point in a normally distributed set of data.
    • 13.7: The t-Distribution Table for Degrees of Freedom = n - 1
      The table provides critical t-values based on two key pieces of information: the confidence level (or alpha level) and the degrees of freedom, which depend on the sample size. Because the t-distribution is wider than the normal distribution, it accounts for extra uncertainty in small samples. As the sample size increases, the t-distribution becomes more similar to the standard normal distribution.
    • 13.8: The Critical Values for the Pearson Correlation Matrix for Degrees of Freedom = n -2
      The Pearson correlation table is used to find the critical value needed to determine if a correlation is statistically significant. To use it, find the row that matches your degrees of freedom, which is the sample size minus two. Then, select the column that matches your chosen alpha level. The value where the row and column meet is the critical value. If your calculated correlation is greater than this positive value or less than the negative value, the correlation is considered significant.
    • 13.9: The Chi-Square Distribution for Degrees of Freedom = n - 1
      The chi-square distribution table is used to find critical values for chi-square tests, which help determine whether observed data differ significantly from expected results. To use the table, identify the degrees of freedom based on the number of categories or variables in your test. Then, select the desired alpha level that reflects your level of significance. The point where the degrees of freedom and alpha level meet gives the critical value. If your calculated chi-square statistic is greate
    • 13.10: The F-Distribution for Alpha = 0.005
      The F-distribution table is used to find critical values for comparing two variances or conducting ANOVA tests. To use the table with an alpha level of 0.005, you need two degrees of freedom: one for the numerator (associated with the group or treatment) and one for the denominator (associated with the error or residual). Locate the numerator degrees of freedom along the top and the denominator degrees of freedom along the side of the table. The value at the intersection is the critical value. I
    • 13.11: The F-Distribution Table for Alpha = 0.01
      The F-distribution table is used to find critical values for comparing two variances or conducting ANOVA tests. To use the table with an alpha level of 0.01, you need two degrees of freedom: one for the numerator (associated with the group or treatment) and one for the denominator (associated with the error or residual). Locate the numerator degrees of freedom along the top and the denominator degrees of freedom along the side of the table. The value at the intersection is the critical value. If
    • 13.12: The F-Distribution Table for Alpha = 0.025
      The F-distribution table is used to find critical values for comparing two variances or conducting ANOVA tests. To use the table with an alpha level of 0.025, you need two degrees of freedom: one for the numerator (associated with the group or treatment) and one for the denominator (associated with the error or residual). Locate the numerator degrees of freedom along the top and the denominator degrees of freedom along the side of the table. The value at the intersection is the critical value. I
    • 13.13: The F-Distribution Table for Alpha = 0.05
      The F-distribution table is used to find critical values for comparing two variances or conducting ANOVA tests. To use the table with an alpha level of 0.05, you need two degrees of freedom: one for the numerator (associated with the group or treatment) and one for the denominator (associated with the error or residual). Locate the numerator degrees of freedom along the top and the denominator degrees of freedom along the side of the table. The value at the intersection is the critical value. If
    • 13.14: The F-Distribution Table for Alpha = 0.10
      The F-distribution table is used to find critical values for comparing two variances or conducting ANOVA tests. To use the table with an alpha level of 0.10, you need two degrees of freedom: one for the numerator (associated with the group or treatment) and one for the denominator (associated with the error or residual). Locate the numerator degrees of freedom along the top and the denominator degrees of freedom along the side of the table. The value at the intersection is the critical value. If

    This page titled 13: Statistical Tables is shared under a Public Domain license and was authored, remixed, and/or curated by Toros Berberyan, Tracy Nguyen, and Alfie Swan.