These data are obtained upon the cpu time needed to solve an algorithm:
2.0 1.4 3.5 2.3 3.2 3.6 .1 3.5 2.2 2.1 2.4 1.5 2.2 2.3 2.7 1.9 1.7 1.8 3.1 1.5 1.5 2.6 2.8 2.5 2.5 3.9 .8 1.8 3.3 3.7
a. Determine the mean and standard deviation.
b. Find out a 99% confidence interval on the mean time required to solve a problem
c. Another algorithm takes an average of 6.6 cpu time. The solutions obtained are equivalent. Does the new algorithm appear to be more efficient than the other with respect to computing time? Explain