A random sample of n measurements was selected from a population with unknown mean u and known standard deviation. Calculate a 90% confidence interval for u for each of the situations given in parts a through e. ...... a. n = 70, x= 26, o2 = 13 ( 25.29 , 26.71) (Round to two decimal places as needed.) b. n = 150, x = 118, o2 = 24 (Round to two decimal places as needed.)
A random sample of n measurements was selected from a population with unknown mean u and known standard deviation. Calculate a 90% confidence interval for u for each of the situations given in parts a through e. ...... a. n = 70, x= 26, o2 = 13 ( 25.29 , 26.71) (Round to two decimal places as needed.) b. n = 150, x = 118, o2 = 24 (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Problem Description:**
A random sample of \( n \) measurements was selected from a population with an unknown mean \(\mu\) and known standard deviation. Calculate a 90% confidence interval for \(\mu\) for each of the situations given in parts a through e.
---
**a.**
- Sample size (\( n \)): 70
- Sample mean (\( \bar{x} \)): 26
- Population variance (\( \sigma^2 \)): 13
**Confidence Interval:**
\( (25.29, 26.71) \)
(Note: Round to two decimal places as needed.)
---
**b.**
- Sample size (\( n \)): 150
- Sample mean (\( \bar{x} \)): 118
- Population variance (\( \sigma^2 \)): 24
**Confidence Interval:**
\( (\underline{\phantom{00}}, \underline{\phantom{00}}) \)
(Note: Round to two decimal places as needed.)
---
**Instructions:**
For each scenario, the confidence interval is provided partially or needs completion. Ensure that all calculations are rounded to two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0da2036f-8bf1-44f0-a09c-54c13cf955b8%2Ff1ad3960-42ad-4918-9312-0ac1745249c6%2F10lmheh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A random sample of \( n \) measurements was selected from a population with an unknown mean \(\mu\) and known standard deviation. Calculate a 90% confidence interval for \(\mu\) for each of the situations given in parts a through e.
---
**a.**
- Sample size (\( n \)): 70
- Sample mean (\( \bar{x} \)): 26
- Population variance (\( \sigma^2 \)): 13
**Confidence Interval:**
\( (25.29, 26.71) \)
(Note: Round to two decimal places as needed.)
---
**b.**
- Sample size (\( n \)): 150
- Sample mean (\( \bar{x} \)): 118
- Population variance (\( \sigma^2 \)): 24
**Confidence Interval:**
\( (\underline{\phantom{00}}, \underline{\phantom{00}}) \)
(Note: Round to two decimal places as needed.)
---
**Instructions:**
For each scenario, the confidence interval is provided partially or needs completion. Ensure that all calculations are rounded to two decimal places.
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