In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? Yes, the ratio of the the larger variance to the smaller variance is less than three. Yes, the ratio of the larger variance to the smaller variance is more than three. O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O tis not possible to check that assumption with the given information. What is the observed value of the test statistic? t = What are the degrees of freedom for the pooled estimate of the population variance? df = What is the p-value of the test? p-value What can you conclude concerning the null hypotheses in this case if a 0.05?
In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? Yes, the ratio of the the larger variance to the smaller variance is less than three. Yes, the ratio of the larger variance to the smaller variance is more than three. O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O tis not possible to check that assumption with the given information. What is the observed value of the test statistic? t = What are the degrees of freedom for the pooled estimate of the population variance? df = What is the p-value of the test? p-value What can you conclude concerning the null hypotheses in this case if a 0.05?
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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![Use the Excel printout to answer the following questions.
**t-Test: Two-Sample Assuming Equal Variances**
| | F | G |
|----------|-----------|-----------|
| | Variable 1| Variable 2|
| Mean | 28.671 | 28.215 |
| Variance | 5.061 | 2.225 |
| Observations | 8 | 7 |
| Pooled Variance | 3.752 | |
| Hypothesized Mean Difference | 0 | |
| df | 13 | |
| t Stat | 0.455 | |
| P(T <= t) one-tail | 0.328 | |
| t Critical one-tail | 1.771 | |
| P(T <= t) two-tail | 0.657 | |
| t Critical two-tail | 2.160 | |
**In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable?**
- [ ] Yes, the ratio of the larger variance to the smaller variance is less than three.
- [ ] Yes, the ratio of the larger variance to the smaller variance is more than three.
- [ ] No, the ratio of the larger variance to the smaller variance is less than three.
- [ ] No, the ratio of the larger variance to the smaller variance is more than three.
- [ ] It is not possible to check that assumption with the given information.
**What is the observed value of the test statistic?**
t = _______
**What are the degrees of freedom for the pooled estimate of the population variance?**
df = _______
**What is the p-value of the test?**
p-value = _______
**What can you conclude concerning the null hypothesis in this case if α = 0.05?**
- [ ] Since the p-value is greater than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
- [ ] Since the p-value is less than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
- [ ] Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2Fe079534f-a1b0-4b78-82c2-b31074cf141d%2Flzbx8vh_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Excel printout to answer the following questions.
**t-Test: Two-Sample Assuming Equal Variances**
| | F | G |
|----------|-----------|-----------|
| | Variable 1| Variable 2|
| Mean | 28.671 | 28.215 |
| Variance | 5.061 | 2.225 |
| Observations | 8 | 7 |
| Pooled Variance | 3.752 | |
| Hypothesized Mean Difference | 0 | |
| df | 13 | |
| t Stat | 0.455 | |
| P(T <= t) one-tail | 0.328 | |
| t Critical one-tail | 1.771 | |
| P(T <= t) two-tail | 0.657 | |
| t Critical two-tail | 2.160 | |
**In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable?**
- [ ] Yes, the ratio of the larger variance to the smaller variance is less than three.
- [ ] Yes, the ratio of the larger variance to the smaller variance is more than three.
- [ ] No, the ratio of the larger variance to the smaller variance is less than three.
- [ ] No, the ratio of the larger variance to the smaller variance is more than three.
- [ ] It is not possible to check that assumption with the given information.
**What is the observed value of the test statistic?**
t = _______
**What are the degrees of freedom for the pooled estimate of the population variance?**
df = _______
**What is the p-value of the test?**
p-value = _______
**What can you conclude concerning the null hypothesis in this case if α = 0.05?**
- [ ] Since the p-value is greater than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
- [ ] Since the p-value is less than 0.05, the results are significant. There is sufficient evidence to indicate a difference in the two population means.
- [ ] Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in
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