gr2es10r.380 A sample has M-71 and s=3. In this sample, what is the X value corresponding to z = +1.33? a. X=60 O b. X=77 O c.X=67 O d. X= 75 Search hp
gr2es10r.380 A sample has M-71 and s=3. In this sample, what is the X value corresponding to z = +1.33? a. X=60 O b. X=77 O c.X=67 O d. X= 75 Search hp
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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![**CENGAGE | MINDTAP**
**TH2 statistics Ch1-6**
**Test: TH2 statistics Ch1-6 (Practice)**
---
**Question: gr2es10r.380**
---
A sample has \( M = 71 \) and \( s = 3 \). In this sample, what is the \( X \) value corresponding to \( z = +1.33 \)?
**Options:**
- a. \( X = 60 \)
- b. \( X = 77 \)
- c. \( X = 67 \)
- d. \( X = 75 \)
---
**Select the correct X value.**
---
This problem asks you to determine the value of \( X \) given a sample mean \( (M) \), standard deviation \( (s) \), and a z-score \( (z) \).
**Solution Approach:**
Use the z-score formula:
\[ z = \frac{X - M}{s} \]
Rearrange it to find \( X \):
\[ X = (z \cdot s) + M \]
**Substitute the values:**
\[ z = 1.33, \, s = 3, \, M = 71 \]
\[ X = (1.33 \cdot 3) + 71 \]
\[ X = 3.99 + 71 \]
\[ X = 74.99 \]
Since the closest value to 74.99 in the given options is 75:
**Correct Answer:**
- d. \( X = 75 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15df961f-7a13-481e-98fc-b6524a05375f%2Faca930e2-3618-4173-9048-d79e1f460624%2Fb4g3iuw4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**CENGAGE | MINDTAP**
**TH2 statistics Ch1-6**
**Test: TH2 statistics Ch1-6 (Practice)**
---
**Question: gr2es10r.380**
---
A sample has \( M = 71 \) and \( s = 3 \). In this sample, what is the \( X \) value corresponding to \( z = +1.33 \)?
**Options:**
- a. \( X = 60 \)
- b. \( X = 77 \)
- c. \( X = 67 \)
- d. \( X = 75 \)
---
**Select the correct X value.**
---
This problem asks you to determine the value of \( X \) given a sample mean \( (M) \), standard deviation \( (s) \), and a z-score \( (z) \).
**Solution Approach:**
Use the z-score formula:
\[ z = \frac{X - M}{s} \]
Rearrange it to find \( X \):
\[ X = (z \cdot s) + M \]
**Substitute the values:**
\[ z = 1.33, \, s = 3, \, M = 71 \]
\[ X = (1.33 \cdot 3) + 71 \]
\[ X = 3.99 + 71 \]
\[ X = 74.99 \]
Since the closest value to 74.99 in the given options is 75:
**Correct Answer:**
- d. \( X = 75 \)
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