Answer
0.7486
Work Step by Step
To calculate P(x̄ < 67.3), we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$= \frac{67.3-64}{4.907}$ = 0.67
P(z < 0.67) = 0.7486, hence:
P(x̄ < 0.67) = 0.7486
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