Question: Question 6:

We ask whether attending a private school leads to higher or lower performance on a test of social skills. A sample of 100 students from a private school produces a mean of 71.30 on the test, and the national mean for students from public schools is 75.62 (σ_x = 28.0).

(a) Should we use a one-tailed or a two-tailed test? Why?

(b) What are H₀ and H_a?

(c) Compute z_obt.

(d) With α = .05, what is z_crit? (α = criterion probability / greek letter alpha)

(e) What should we conclude about this relationship?