.Most car engines need at least 87 octane to avoid​ "knocking" or​ "pinging," terms used to describe the​ pre-ignition that can happen when a​ fuel's octane is too low. An engineer is designing an experiment to raise the octane of an​ ethanol-based fuel. From previous​ studies, she thinks that with 8 experimental​ runs, she will have a power of 0.90 to detect a real increase of 3 points in the mean octane.
​a) If the actual increase is only 1 point and all other things remain​ equal, will the power be increased or​ decreased? WHY?
b) If she wants the power to be the​ same, but she is interested in detecting an increase of only 1​ point, what will she need to​ do?