Find the z-score location of a vertical line that rates a normal distribution as described in each of the following. a. 5% in the tail on the left b. 30% in the tail on the right c. 65% in the body on the left d. 80% in the body on the right sepa-

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**Question 10:** Find the z-score location of a vertical line that separates a normal distribution as described in each of the following.

a. 5% in the tail on the left  
b. 30% in the tail on the right  
c. 65% in the body on the left  
d. 80% in the body on the right  

**Explanation:**  
This question involves finding specific z-scores in a normal distribution, which is symmetric and bell-shaped. The areas mentioned refer to the percentage of the total area under the curve that lies in certain sections (tails or body) of the distribution:

- **5% in the tail on the left:** You are looking for a z-score where 5% of the data lies below it.
- **30% in the tail on the right:** This z-score corresponds to having 30% of the data above it.
- **65% in the body on the left:** This involves finding a z-score such that 65% of the data is to the left of it.
- **80% in the body on the right:** Here, you're looking for a z-score with 80% of the data to the right of it.

To solve this, you would typically refer to a z-table or use statistical software to calculate the exact z-scores.
Transcribed Image Text:**Question 10:** Find the z-score location of a vertical line that separates a normal distribution as described in each of the following. a. 5% in the tail on the left b. 30% in the tail on the right c. 65% in the body on the left d. 80% in the body on the right **Explanation:** This question involves finding specific z-scores in a normal distribution, which is symmetric and bell-shaped. The areas mentioned refer to the percentage of the total area under the curve that lies in certain sections (tails or body) of the distribution: - **5% in the tail on the left:** You are looking for a z-score where 5% of the data lies below it. - **30% in the tail on the right:** This z-score corresponds to having 30% of the data above it. - **65% in the body on the left:** This involves finding a z-score such that 65% of the data is to the left of it. - **80% in the body on the right:** Here, you're looking for a z-score with 80% of the data to the right of it. To solve this, you would typically refer to a z-table or use statistical software to calculate the exact z-scores.
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