Question

Please show work and explain

7. A report indicated that automobiles manufactured in North America are less fuel Cơn efficient than automobiles manufactured in Asia. It is known that automobiles from Asia have a mean fuel efficiency of 22 miles per gallon. To determine if there is evidence to support this claim, a random sample of automobiles manufactured in North America is to be selected and their fuel efficiency determined. The appropriate hypotheses to be tested are A) H 0: μ 22 against Ha: μ > 11

Answer 1

First look what is our claim. It says automobile manufactured in North America are less fuel efficient than automobile manufactured in Asia (Alternative hypothesis) and also here it is given that automobile manufactured from Asia have mean fuel efficiency is 22 miles per gallon(Null hypothesis). So our Null hypothesis should be the automobile manufactured in North America and Asia does not have any difference in fuel efficiency (mean= 22). Also by claim our alternative hypothesis should be mean fuel efficiency is less than 22. Now note that here we want to test our hypthesis for population mean not for sample mean. Let $\mu$ be the population mean fuel efficiency in North America so our hypothesis is written in part "D".