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

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**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.
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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