Refer to the data on the computer attitude score (CAS) in Table D.4 of the Data Bank. A computer summary of a level α = .05 test of H0: μ = 2.6 versus a two-sided alternative and a 95% confidence interval is given below.

(a) Will the 99% confidence interval for mean CAS be smaller or larger than the one in the printout? Verify your answer by determining the 99% confidence interval.
(b) Use the value for Z to test the null hypothesis H0: μ = 2.6 versus the one-sided alternative H1: μ > 2.6 with α = .05.

One-Sample Z: CAS Test of mu-, 2.6 vs mu not = 2.6 Variable N Mean StDev CAS 35 2.8157 0.4840 Variable CAS 95.0% CI 2.6554, 2.9761) 2.64 0.008