Use the graph to the right to answers parts a and b. a. For the normal distribution shown to the right, find the z-score. b. Find the value of z for right-tail probabilities of (i) 0.08 and (ii) 0.005. a. The z-score is. (Round to two decimal places as needed.) 0.28 ↓ μ με 20
Use the graph to the right to answers parts a and b. a. For the normal distribution shown to the right, find the z-score. b. Find the value of z for right-tail probabilities of (i) 0.08 and (ii) 0.005. a. The z-score is. (Round to two decimal places as needed.) 0.28 ↓ μ με 20
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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5.
![**Educational Content on Normal Distribution and Z-Scores**
In this exercise, you will use the given graph to solve two parts related to normal distribution and z-scores.
**Part a:**
- For the normal distribution shown, determine the z-score.
**Part b:**
- Find the value of z for right-tail probabilities of:
- (i) 0.08
- (ii) 0.005
You need to round your answers to two decimal places.
**Graph Explanation:**
- The graph on the right is a standard normal distribution curve, often referred to as a bell curve.
- The mean (\( \mu \)) is marked in the center, and a point is marked at \( \mu + z_0 \).
- The shaded area to the right of the point is labeled with a probability of 0.28. This area represents the probability in the right tail of the distribution beyond \( \mu + z_0 \).
**Instruction for Part a:**
- Use the graph's information to find the z-score corresponding to the shaded area of 0.28.
**Instruction for Part b:**
- Calculate the z-scores for given right-tail probabilities of 0.08 and 0.005 using statistical tables or software.
**Response Input Area:**
- Provide your z-score calculation for part a [_________].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf10b40a-fae6-4e8b-9b89-0711a68556bc%2Ffac2a60a-0fa1-4a96-8d81-3e836e8eae63%2Fh8xkct_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content on Normal Distribution and Z-Scores**
In this exercise, you will use the given graph to solve two parts related to normal distribution and z-scores.
**Part a:**
- For the normal distribution shown, determine the z-score.
**Part b:**
- Find the value of z for right-tail probabilities of:
- (i) 0.08
- (ii) 0.005
You need to round your answers to two decimal places.
**Graph Explanation:**
- The graph on the right is a standard normal distribution curve, often referred to as a bell curve.
- The mean (\( \mu \)) is marked in the center, and a point is marked at \( \mu + z_0 \).
- The shaded area to the right of the point is labeled with a probability of 0.28. This area represents the probability in the right tail of the distribution beyond \( \mu + z_0 \).
**Instruction for Part a:**
- Use the graph's information to find the z-score corresponding to the shaded area of 0.28.
**Instruction for Part b:**
- Calculate the z-scores for given right-tail probabilities of 0.08 and 0.005 using statistical tables or software.
**Response Input Area:**
- Provide your z-score calculation for part a [_________].
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