# statistics

posted by
**John**
.

A consumer group is testing a manufacturerâ€™s claim that a new car model will travel at least 30 miles per gallon of gasoline. Assume that ��0:��=30 and ����:��<30, and that the population standard deviation �� is known and is equal to 3.2 miles per gallon. An SRS of 40 cars will be used for this test, with a level of significance of ��=0.01.

Compute the power of this test assuming a proposed alternative value for �� of 27.5 miles per gallon (i.e. assuming ����=27.5).