You wish to test the following claim (H) at a significance level of α = 0.001. Ho:μ = 88.1 Η„: μ # 88.1 You believe the population is normally distributed, but you do not know the standard deviation. You a a sample of size n = 19 with a mean of M = 80.2 and a standard deviation of SD = 18.2. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
You wish to test the following claim (H) at a significance level of α = 0.001. Ho:μ = 88.1 Η„: μ # 88.1 You believe the population is normally distributed, but you do not know the standard deviation. You a a sample of size n = 19 with a mean of M = 80.2 and a standard deviation of SD = 18.2. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
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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![### Hypothesis Testing: Example Scenario
You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.001\).
\[
H_0: \mu = 88.1 \\
H_a: \mu \neq 88.1
\]
#### Sample Information
- Population is assumed to be normally distributed.
- Sample size (\(n\)) = 19
- Sample mean (\(M\)) = 80.2
- Sample standard deviation (\(SD\)) = 18.2
### Questions
1. **What is the critical value for this test?**
- Report your answer accurate to three decimal places.
- **Critical Value = ± [ ___ ]**
2. **What is the test statistic for this sample?**
- Report your answer accurate to three decimal places.
- **Test Statistic = [ ___ ]**
3. **The test statistic is...**
- ( ) in the critical region
- ( ) not in the critical region
4. **This test statistic leads to a decision to...**
- ( ) reject the null
- ( ) accept the null
- ( ) fail to reject the null
### Instructions
Please calculate the critical value and the test statistic using the given sample data. Use these values to determine whether the test statistic falls within the critical region. Make a decision based on the statistical evidence regarding the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b3e737a-8349-4e54-9e18-7a62f044f437%2F7d040802-f7de-4cf8-bb42-31c6f49caa1c%2Fj9wm4rw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing: Example Scenario
You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.001\).
\[
H_0: \mu = 88.1 \\
H_a: \mu \neq 88.1
\]
#### Sample Information
- Population is assumed to be normally distributed.
- Sample size (\(n\)) = 19
- Sample mean (\(M\)) = 80.2
- Sample standard deviation (\(SD\)) = 18.2
### Questions
1. **What is the critical value for this test?**
- Report your answer accurate to three decimal places.
- **Critical Value = ± [ ___ ]**
2. **What is the test statistic for this sample?**
- Report your answer accurate to three decimal places.
- **Test Statistic = [ ___ ]**
3. **The test statistic is...**
- ( ) in the critical region
- ( ) not in the critical region
4. **This test statistic leads to a decision to...**
- ( ) reject the null
- ( ) accept the null
- ( ) fail to reject the null
### Instructions
Please calculate the critical value and the test statistic using the given sample data. Use these values to determine whether the test statistic falls within the critical region. Make a decision based on the statistical evidence regarding the null hypothesis.
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