Continuing with the BIM example, let’s assume that 100 flight students prepared for the IRA exam using BIM’s software. The data file Ch_4 Example 4.4 contains the corresponding hypothetical exam scores. Let’s further assume that the mean exam score for the population of IRA test-takers is μ = 48, the standard deviation is σ = 12, the scores are normally distributed in the population, and the null and alternative hypotheses relative to BIM’s claim are H0: μBIM = 48 and H1: μBIM > 48.

(a) Determine if the mean of the sample data is statistically significant for α = .05 and z* = 1.25.

(b) Calculate and interpret the corresponding p value.