Imagine an automobile company looking for additives that might increase gas mileage. As a pilot study , they send 30 cars fueled with a new additive on a road trip from Boston to Los Angeles. Without the additive, those cars are known to average 25.0mpg with a standard deviation of 2.4 mpg. Suppose it turns out that the thirty cars averaged 26.3 mpg with the additive. 21) b) What should the company conclude? Is the additive effective? Let a=0.01. Use three methods : the p-value , the critical value approach and the condence Interval method. Find the power of the test when p. is actually (i) 25.750 (ii) 26.8 What effect does increasing the distance between the true value of u and hypothesized value \"=25 Find the power of the test when u is actually 25.750 and n=100 ,a=0.01. What e'ect does increasing the sample size have on the power of the test? Find the power of the test when u is actually 25.750 and n=30. What effect does increasing alpha have on the power (f the test? Use u=0.05 . What would be the effect on power when u is actually 25.750 ( n=30, 0L=0.01) if 6 could be reduced om 2.4 mpg to 1.2 mpg