| Your name | | | | | | | | | JMP OUTPUT |
| DS 123 Lab #4 |
| Due: 10/03/2016 |
| Question 1. | Problem 10.12, p. 390 |
| | | t-Test: Two-Sample Assuming Equal Variances |
| Fixed Rate |
| 8.29% | | | Fixed Rate | Variable Rate |
| 7.75% | | Mean |
| 7.50% | | Variance |
| 7.99% | | Observations |
| 7.75% | | Pooled Variance |
| 7.99% | | Hypothesized Mean |
| 9.40% | | df |
| 8.00% | | t Stat |
| | | P(T<=t) one-tail |
| Variable Rate | | t Critical one-tail |
| 7.59% | | P(T<=t) two-tail |
| 6.75% | | t Critical two-tail |
| 6.99% |
| 6.50% | | | t-Statistic | | p-value |
| 7.00% |
| | | Hypotheses: |
| | | Rejection Region: | a = 0.05 | | a = 0.05 |
| | | | df = ?? | | Rej H0 if p-value < 0.05 |
| | | | t-coeff = | ?? |
| | | | Rej H0 if t > ?? |
| | | | or t < ?? |
| | | Test Statistic: | t = | ?? | p-value = | ?? |
| | | Conclusion: |
| | | Since the test statistic of t = ?? falls | | | Since the test statistic of |
| | | {above/below/between} critical bound of | | | p-value = ?? falls {above/below} |
| | | t =??, we {reject/do not reject} H0 | | | alpha = 0.05, we {reject/do not reject} |
| | | with at least 95% confidence. | | | H0 with at least 95% confidence. |
| | | Implication: |
| | | There {is/is not} enough evidence to | | | There {is/is not} enough evidence to |
| | | conclude that the mean rates for the | | | conclude that the mean rates |
| | | fixed and variable rate auto loans differ. | | | for the fixed and variable rate |
| | | | | | auto loans differ. |
| Question 2. | Problem Given on Assignment |
| Branch A | | F-Test Two-Sample for Variances |
| $307,000 | | | | | | | | | JMP OUTPUT |
| $316,000 | | | Branch A | Branch B |
| $307,000 | | Mean |
| $305,000 | | Variance |
| $294,000 | | Observations |
| $303,000 | | df |
| $297,000 | | F |
| $286,000 | | P(F<=f) one-tail |
| $265,000 | | F Critical one-tail |
| $320,000 |
| $315,000 | | t-Test: Two-Sample Assuming Unequal Variances |
| $328,000 |
| $285,000 | | | Branch A | Branch B |
| $293,000 | | Mean |
| | | Variance |
| Branch B | | Observations |
| $304,000 | | Hypothesized Mean |
| $289,000 | | df |
| $296,000 | | t Stat |
| $283,000 | | P(T<=t) one-tail |
| $281,000 | | t Critical one-tail |
| $301,000 | | P(T<=t) two-tail |
| $298,000 | | t Critical two-tail |
| $303,000 |
| $301,000 | | | t-Statistic | | p-value |
| $288,000 |
| $298,000 | | Hypotheses: |
| $286,000 |
| $284,000 |
| $283,000 | | Rejection Region: | a = 0.05 | | a = 0.05 |
| $277,000 | | | df = ?? | | Rej H0 if p-value < 0.05 |
| $273,000 | | | t-coeff = | ?? |
| | | | Rej H0 if t > ?? |
| | | | or t < ?? |
| | | Test Statistic: | t = | ?? | p-value = | ?? |
| | | Conclusion: |
| | | Since the test statistic of t = ?? falls | | | Since the test statistic of |
| | | {above/below/between} the critical bound | | | p-value = ?? Falls {above/below} |
| | | of t =??, we {reject/do not reject} H0 | | | a = 0.05, we {reject/do not reject} |
| | | with at least 95% confidence. | | | H0 with at least 95% confidence. |
| | | Implication: |
| | | There {is/is not} enough evidence to | | | There {is/is not} enough evidence to |
| | | conclude that the average mortgages | | | conclude that the average mortgages |
| | | applied for differ at the two branches. | | | applied for differ at the two branches. |