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-
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-
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ef21afe-2aea-440f-b2b6-f0cf34b0fc2b%2F7f3d6ff8-9e52-4a4f-ae6b-6d85567903d4%2Fjy74nxi_processed.jpeg&w=3840&q=75)
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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