4). Suppose that a random sample of size n = 16 from a normal population with mean µ and standard deviation o = 0.48 yields a sample average of x = 10.8. What is the p-value for testing Ho:µ = 10.5 against Ha:µ > 10.5? A. 0.0062 В. 0.4969 C. 0.0124 D. 0.9938
4). Suppose that a random sample of size n = 16 from a normal population with mean µ and standard deviation o = 0.48 yields a sample average of x = 10.8. What is the p-value for testing Ho:µ = 10.5 against Ha:µ > 10.5? A. 0.0062 В. 0.4969 C. 0.0124 D. 0.9938
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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![---
### Example Problems in Hypothesis Testing and Confidence Intervals
#### Problem 4
Suppose that a random sample of size \( n = 16 \) from a normal population with mean \( \mu \) and standard deviation \( \sigma = 0.48 \) yields a sample average of \( \bar{x} = 10.8 \). What is the p-value for testing \( H_0: \mu = 10.5 \) against \( H_a: \mu > 10.5 \)?
- **A. 0.0062**
- **B. 0.4969**
- **C. 0.0124**
- **D. 0.9938**
#### Problem 5
A 99% confidence interval for the population mean \( \mu \) is determined to be (65.32 to 73.54). If the confidence level is reduced to 95%, the 95% confidence interval for \( \mu \)
- **A. becomes wider.**
- **B. remains unchanged.**
- **C. becomes narrower.**
- **D. None of the above answers are correct.**
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c145f92-040a-49d6-acdb-06a5c78bf220%2F20725636-2d1b-4077-a426-96a20b87f7d3%2F0cubqqa_processed.png&w=3840&q=75)
Transcribed Image Text:---
### Example Problems in Hypothesis Testing and Confidence Intervals
#### Problem 4
Suppose that a random sample of size \( n = 16 \) from a normal population with mean \( \mu \) and standard deviation \( \sigma = 0.48 \) yields a sample average of \( \bar{x} = 10.8 \). What is the p-value for testing \( H_0: \mu = 10.5 \) against \( H_a: \mu > 10.5 \)?
- **A. 0.0062**
- **B. 0.4969**
- **C. 0.0124**
- **D. 0.9938**
#### Problem 5
A 99% confidence interval for the population mean \( \mu \) is determined to be (65.32 to 73.54). If the confidence level is reduced to 95%, the 95% confidence interval for \( \mu \)
- **A. becomes wider.**
- **B. remains unchanged.**
- **C. becomes narrower.**
- **D. None of the above answers are correct.**
---
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