Population Mean InferenceData Summary
Variable | Sample Size | Mean | Sample Std Dev |
Domestic MPG | 35 | 33 | 10 |
Import MPG | 47 | 34 | 9 |
Test of Hypothesis: t-Test
Domestic MPG - Import MPG
Alternative Hypothesis Ha: Difference of means 'Domestic MPG - Import MPG' is less than 0
5% lower critical value in units of data = -3.568353
Unequal population variances was assumed.
Difference of Means | Std Error | Obs t Stat | DF | 5% t-Lower Critical | P-value |
-1 | 2.14022 | -0.467241 | 68.8674 | -1.66728 | 0.320901 |
Test is not significant at 5% level.
P-value Graph: t-Test
Null density (in units of data): Student t; mean = 0, scale = 2.1402, df = 68.867
Alternative Hypothesis Ha: Difference of means 'Domestic MPG - Import MPG' is less than 0
Assumed unequal population variances
Test of Hypothesis: z-Test
Domestic MPG - Import MPG
Alternative Hypothesis Ha: Difference of means 'Domestic MPG - Import MPG' is less than 0
5% lower critical value in units of data = -3.520351
Difference of Means | Std Error | Obs z Stat | 5% z-Lower Critical | P-Value |
-1 | 2.14022 | -0.467241 | -1.64485 | 0.320164 |
Test is not significant at 5% level.
P-value Graph: z-Test
Null density (in units of data): Normal; mean = 0 , sd = 2.1402
Alternative Hypothesis Ha: Difference of means 'Domestic MPG - Import MPG' is less than 0