Problem 5. (a) A sample of size n = 51 and standard deviation 3 = 0.37 has been collected from a normal population. Construct a 95% twosided con dence interval for a. What would be the conclusion of the test a = 0.25 vs 0 75 0.25 at the level a = 0.05? (b) A random sample of size n = 50 is drawn from a population with popula- tion proportion 19 = 0.1. Calculate E05) and V(15), Where 15 is the sample population proportion