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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![### II. Find the exact value of each expression. Use radians when applicable.
#### Problems:
11. \(\cos^{-1}\left(\frac{-\sqrt{2}}{2}\right) =\) _______
12. \(\arctan(\sqrt{3}) =\) _______
13. \(\tan^{-1}(\sec(0)) =\) _______
14. \(\tan\left(\cos^{-1}\left(-\frac{1}{2}\right)\right) =\) _______
15. \(\sin\left(\tan^{-1}\left(\frac{\sqrt{3}}{3}\right)\right) =\) _______
16. \(\csc\left(\sec^{-1}\left(-\frac{13}{9}\right)\right) =\) _______
#### Instructions:
Find the exact values of the given expressions. Use radians for trigonometric values when necessary. The functions involved include inverse trigonometric functions such as \(\cos^{-1}\), \(\arctan\), \(\tan^{-1}\), \(\sec^{-1}\), and \(\csc\) combined with expressions involving square roots and fractions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad61fb23-6772-4c68-a944-71325d2213c5%2Fa463ca5d-1524-4835-b160-53f830b73b63%2Ftnxt5eq_processed.jpeg&w=3840&q=75)
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