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Use the Excel printout to answer the following questions. t-Test: Two-Sample Assuming Equal Variances E F Variable 1 Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T <= t) one-tail t Critical one-tail P(T <= t) two-tail t Critical two-tail What is the observed value of the test statistic? t = 28.637 5.071 6 3.813 0 9 0.330 0.375 1.833 0.749 2.262 What is the p-value of the test? p-value = G Variable 2 In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? O Yes, the ratio of the the larger variance to the smaller variance is less than three. O 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 It is not possible to check that assumption with the given information. 28.247 2.241 5 What are the degrees of freedom for the pooled estimate of the population variance? df = What can you conclude concerning the null hypotheses in this case if a = 0.05? O Since the p-value is less than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O 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. O 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.

Use the Excel printout to answer the following questions. t-Test: Two-Sample Assuming Equal Variances E F Variable 1 Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T <= t) one-tail t Critical one-tail P(T <= t) two-tail t Critical two-tail What is the observed value of the test statistic? t = 28.637 5.071 6 3.813 0 9 0.330 0.375 1.833 0.749 2.262 What is the p-value of the test? p-value = G Variable 2 In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? O Yes, the ratio of the the larger variance to the smaller variance is less than three. O 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 It is not possible to check that assumption with the given information. 28.247 2.241 5 What are the degrees of freedom for the pooled estimate of the population variance? df = What can you conclude concerning the null hypotheses in this case if a = 0.05? O Since the p-value is less than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O Since the p-value is greater than 0.05, the results are not significant. There is insufficient evidence to indicate a difference in the two population means. O 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. O 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.

MATLAB: An Introduction with Applications
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 | 28.637 | 28.247 | | Variance | 5.071 | 2.241 | | Observations | 6 | 5 | | Pooled Variance | 3.813 | | | Hypothesized Mean Difference | 0 | | | df | 9 | | | t Stat | 0.330 | | | P(T <= t) one-tail | 0.375 | | | t Critical one-tail | 1.833 | | | P(T <= t) two-tail | 0.749 | | | t Critical two-tail | 2.262 | | **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 hypotheses in this case if \( \alpha = 0.05 \)?** - ☐ Since the p-value is less than 0.05, the results are not significant. There is insufficient 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 the two population means. -
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 | 28.637 | 28.247 | | Variance | 5.071 | 2.241 | | Observations | 6 | 5 | | Pooled Variance | 3.813 | | | Hypothesized Mean Difference | 0 | | | df | 9 | | | t Stat | 0.330 | | | P(T <= t) one-tail | 0.375 | | | t Critical one-tail | 1.833 | | | P(T <= t) two-tail | 0.749 | | | t Critical two-tail | 2.262 | | **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 hypotheses in this case if \( \alpha = 0.05 \)?** - ☐ Since the p-value is less than 0.05, the results are not significant. There is insufficient 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 the two population means. -
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