Population Mean Inference

Data 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

The title of the graph is  P-value Graph: t-Test  ,  The graph shows the distribution of   Diff. of Sample Means  ,  Obs Diff. of Sample Means = -1 , P-Value = 0.3209

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

The title of the graph is  P-value Graph: z-Test  ,  The graph shows the distribution of   Diff. of Sample Means  ,  Obs Diff. of Sample Means = -1 , P-Value = 0.32016