Throwing eggs from a building. Suppose that you have an N-story building and plenty of eggs. Suppose also that
an egg is broken if it is thrown off floor F or higher, and unhurt otherwise.
First, devise a strategy to determine the value of F such that the number of
broken eggs is ~lgN when using ~lgN throws, then find a way to reduce the cost to
~2lgF.
While the lgN solution is easy to think up, I totally have no idea about the 2lgF solution. Anyway, we are not given the value of F, so where the ground of 2lgF solution is?
Can anyone give some light on this question?

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. the highest speed measured was 78.1 mbps. the complete list of 50 data speeds has a mean of x overbarequals16.11 mbps and a standard deviation of sequals18.65 mbps. a. what is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. how many standard deviations is that [the difference found in part (a)]? c. convert the carrier's highest data speed to a z score. d. if we consider data speeds that convert to z scores between minus2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. the difference is nothing mbps.