Let z1 be a z-score that is unknown but identifiable by position and area. If the area to the right of z1 is 0.7291, the value of z1 is -0.61.

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In a standard normal distribution, the area to the right of a z-score represents the probability that a value is greater than that z-score. If the area to the right of z1 is 0.7291, it means the area to the left (or the cumulative probability up to z1) is 1 - 0.7291 = 0.2709. Looking up this area in the z-table (or using a calculator for the inverse normal distribution function) finds a z-score close to -0.61, which corresponds to the cumulative area of 0.2709.

Let Z1 Be a Z-Score That Is Unknown but Identifiable