For this Assignment, you are working at a firm that conductsindependent testing for heavy industry. Recently, an automobilemanufacturer has been in the news for complaints about the highwaygas mileage of their latest model minivan. You receive a contractfrom a consumer action group to test and write a report on thecompany’s claim that its minivans get 28 miles per gallon on thehighway. The car company agrees to allow you to select randomly 35low-mileage fleet minivans to test their highway mileage. Your testresults gave you the following data:
           29.7    24.5    27.1    29.8    29.2    27.0    27.8    24.1    29.3
           25.9    26.2    24.5    32.8    26.8    27.8    24.0    23.6    29.2
           26.5    27.7    27.1    23.7    24.1    27.2    25.9    26.7    27.8              Â
           27.3    27.6    22.8    25.3    26.6    26.4    27.1    26.1
List the null and alternative hypotheses for the two-tail testfor the mean. Calculate the observed value of the test statisticand the associated p-value.
Is the observed test statistic in the critical region? Is thep-value higher or lower than your alpha?
List the null and alternative hypotheses for the one-tail testof the mean. Calculate the observed value of the test statistic andthe associated p-value.
Is the observed test statistic in the critical region? Will thep-value be higher or lower than your alpha?