2. Consider the vectors below. u has a magnitude of 5 in the positive z direction (0 = 0). v has a magnitude of 5 with 0 = 135° (a) Draw and calculate u + v. i. Draw u starting at the origin. ii. On the same graph, draw v with its starting point at the ending point of u. iii. Draw a third vector from the starting point of u (the origin) to the ending point of v. Label it u + v. iv. Calculate the magnitude (the length) of u + v. Round to the nearest thousandth. v. Find the direction (0) of u + v. Round to the nearest tenth. |lu + v|| = = (b) Draw and calculate v – u. i. Draw u starting at the origin. ii. On the same graph, draw v starting at the origin. iii. Draw a third vector from the ending point of u to the ending point of v. Label it v – u. iv. Calculate the magnitude (the length) of v – u. Round to the nearest thousandth. v. Find the direction (0) of v – u. Round to the nearest tenth.
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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