Question #5

(a) A sample of size n = 51 and standard deviation s = 0.37 has been collected from a normal population. Construct a 95% two-sided confidence interval for . What would be the conclusion of the test = 0.25 vs 0.25 at the level = 0.05?

(b) A random sample of size n = 50 is drawn from a population with population proportion p = 0.1. Calculate E (p) and V (p), where p is the sample population proportion.