# Question: 8 the data set containing information on miles per gallon...

###### Question details

8. The data set containing information on miles per gallon for U.S. cars (sample 1) and for Japanese cars (sample 2) allowed us to calculate the following sample statistics:

SAMPLE 1: NUMBER OF OBSERVATIONS = 249 MEAN = 20.2 STANDARD DEVIATION=6.4 |
SAMPLE 2: NUMBER OF OBSERVATIONS = 79 MEAN = 30.48101 STANDARD DEVIATION = 6.1 |

a)Test the hypothesis that the population means are equal for the two samples Using the formula provided in notes, calculate joint standard error (S.E). calculate the t-statistic (Use d.f. = 133, that big formula from the notes would provide you with this number). Find p-value and interpret the results.

b)Test the hypothesis that the miles per gallons for U.S. cars is less than miles per gallons for Japanese cars.