Answer
0.8078
Work Step by Step
To calculate P(x̄ < 67.3), we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$= \frac{67.3-64}{3.80}$ = 0.87
P(z < 0.87) = 0.8078, hence:
P(x̄ < 0.87) = 0.8078
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