Find the z-scores for which 95% of the distribution's area lies between -z and z. O-0.96 0.95 O 0.475 O 1.96
Find the z-scores for which 95% of the distribution's area lies between -z and z. O-0.96 0.95 O 0.475 O 1.96
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Z-Scores and Distribution Area**
**Question:**
Find the z-scores for which 95% of the distribution's area lies between -z and z.
**Answer Choices:**
- ⭕ -0.96
- ⭘ 0.95
- ⭘ 0.475
- ⭘ 1.96
A check-box is ticked next to the option -0.96.
**Explanation:**
This question is about identifying the correct z-scores that encompass the central 95% of the standard normal distribution. In the context of the standard normal distribution, a z-score represents the number of standard deviations a data point is from the mean.
In this case, we need to find the z-scores that mark the edges of the central 95% portion of the distribution. Statistically, for a standard normal distribution, the z-scores that cut off the lower and upper 2.5% (leaving 95% in the middle) are approximately -1.96 and 1.96.
Thus, the correct answer should be `1.96` indicating that -1.96 and 1.96 are the z-scores between which 95% of the distribution's area lies.
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