1. The problem is to find the shaded area above $z=1.46$ on the standard normal curve.
2. The standard normal distribution has mean $0$ and standard deviation $1$.
3. The area above $z=1.46$ corresponds to the probability $P(Z > 1.46)$.
4. We use the cumulative distribution function (CDF) $\Phi(z)$ which gives $P(Z \leq z)$.
5. The shaded area above $z=1.46$ is $1 - \Phi(1.46)$.
6. From standard normal tables or a calculator, $\Phi(1.46) \approx 0.9279$.
7. Therefore, the shaded area is $$1 - 0.9279 = 0.0721.$$
8. This means about 7.21% of the data lies above $z=1.46$ on the standard normal curve.
Area Above Z 914007
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