Suppose Y(bar) is the average ofnobservations from a population with SD (σ) = 2.5.

a. Forn= 25, what is P(| Y(bar) - μ| < 0.1)? (.1586)

b. Forn= 100, what is P(|Y(bar) - μ| < 0.1)? (.3108)

c. Which answer (3a or 3b) is probably more accurate? Why?

d. (Statistics). How large a sample is needed so that P(|Y(bar) - μ| < 0.1) ≥ .99?