(b) Test for whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.) State the null and alternative hypotheses (in ppm). (Enter != for as needed.). Ho: на: Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
(b) Test for whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.) State the null and alternative hypotheses (in ppm). (Enter != for as needed.). Ho: на: Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
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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Need help in part B
Transcribed Image Text:**Rothamsted Experimental Station (England) Wheat Production Study**
Rothamsted Experimental Station in England has been studying wheat production since 1852. Each year, many small plots of equal size but with different soil and fertilizer conditions are planted with wheat. At the end of the growing season, the yield, measured in pounds, of the wheat on the plots is recorded.
### Sample Data for Plot 1
For a random sample of years, one plot gave the following annual wheat production (in pounds):
- 4.26, 3.78, 4.08, 3.63, 4.05, 3.79, 4.09, 4.42
- 3.89, 3.87, 4.12, 3.09, 4.86, 2.90, 5.01, 3.39
Verify that, for this plot, the sample variance is \( s^2 \approx 0.311110 \).
### Sample Data for Plot 2
Another random sample of years for a second plot gave the following annual wheat production (in pounds):
- 3.64, 3.61, 3.46, 3.79, 4.00, 3.72, 4.13, 4.01
- 3.59, 4.29, 3.78, 3.19, 3.84, 3.91, 3.66, 4.35
Verify that the sample variance for this plot is \( s^2 \approx 0.091166 \).
### Hypothesis Test
Test if there is a significant difference in the population variances of annual wheat production for the first plot versus the second plot. Use a 5% level of significance.
**(a) What is the level of significance?**
0.05
**State the null and alternate hypotheses.**
- Null Hypothesis (\( H_0 \)): \( \sigma_1^2 = \sigma_2^2 \)
- Alternate Hypothesis (\( H_a \)): \( \sigma_1^2 \neq \sigma_2^2 \)
The test aims to determine if there is a statistically significant difference between the variances of the two plots.
![### Hypothesis Testing Exercise
#### Objective:
Test whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.)
#### Instructions:
1. **State the Null and Alternative Hypotheses:**
- \( H_0: \) [Blank]
- \( H_a: \) [Blank]
- (Enter != for ≠ as needed.)
2. **Find the Test Statistic:**
- (Round your answer to two decimal places.)
- [Blank]
3. **Find the p-value:**
- (Round your answer to four decimal places.)
- \( p\text{-value} = \) [Blank]
4. **State Your Conclusion:**
- [ ] Reject \( H_0 \). There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
- [ ] Fail to reject \( H_0 \). There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
- [ ] Reject \( H_0 \). There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
- [ ] Fail to reject \( H_0 \). There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F675d7c68-68c2-40f4-bb09-6fc638745853%2Feb5142a2-5a3f-42c7-a6d1-3697630495d2%2Ffut6kh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Exercise
#### Objective:
Test whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.)
#### Instructions:
1. **State the Null and Alternative Hypotheses:**
- \( H_0: \) [Blank]
- \( H_a: \) [Blank]
- (Enter != for ≠ as needed.)
2. **Find the Test Statistic:**
- (Round your answer to two decimal places.)
- [Blank]
3. **Find the p-value:**
- (Round your answer to four decimal places.)
- \( p\text{-value} = \) [Blank]
4. **State Your Conclusion:**
- [ ] Reject \( H_0 \). There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
- [ ] Fail to reject \( H_0 \). There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
- [ ] Reject \( H_0 \). There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
- [ ] Fail to reject \( H_0 \). There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
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