With 12 degrees of freedom, the values of xa12 = x°0.025 and x x0.975 can be found from a chi- square table. Area in Upper Tail Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.05 3.571 4.404 21.026 23.337| 26.217 28.300 12 3.074 5.226 6.304 18.549 To find the value of x²a/2 = x0.025, move along the row for 12 degrees of freedom until reaching the column for an upper tail area of 0.025. Find x.025, rounding the result to three decimal places. x0.025 =| Use this same process to find x6.975, rounding the result to three decimal places. x'0.975 %3D
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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