Answer
P(x̄ > 2625) = 0.0125. This result is unusual as P < 0.05
Work Step by Step
To calculate P(x̄ > 2625), we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$= \frac{2625-2600}{11.18}$ = 2.24
P(z > 2.24) = 0.0125, hence:
P(x̄ > 2625) = 0.0125
