Test the Hypotheses Below Null Hypothesis: Mean Student Debt in 2011 is equal to Mean Student...
| Test the Hypotheses Below | |||||
| Null Hypothesis: Mean Student Debt in 2011 is equal to Mean Student Debt in 2007 | |||||
| Alternative Hypothesis: Mean Student Debt in 2011 is not equal to Mean Student Debt in 2007 | |||||
| Alpha Level = 0.05 | |||||
| F-Test Two-Sample for Variances | ||
| Variable 1 | Variable 2 | |
| Mean | 3925.76 | 2876.82 |
| Variance | 222129.8188 | 140278.3547 |
| Observations | 50 | 50 |
| df | 49 | 49 |
| F | 1.583493186 | |
| P(F<=f) one-tail | 0.055512364 | |
| F Critical one-tail | 1.607289463 | |
- Run an F-test for two sample variances using
an alpha level of 0.05 and answer the following
questions
- What is the Null and Alterative Hypotheses for the F-Test of
the sample variances?
Null Hypothesis:
Alterative Hypothesis: - Which of the two years has the higher variance?
- Is this a one-tailed or two-tailed test? Explain?
- What is the Null and Alterative Hypotheses for the F-Test of
the sample variances?
-
- What is the F Test Statistic? What is the p-value?
- Based on the statistical output, would you conclude that variances are equal or not equal? Why?
Homework Answers
Above problem is solved using Minitab(Statistical Software), output of minitab is attached below
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