To find the area under the standard normal curve between $z = -1.6$ and $z = -0.6$, we need to use the cumulative distribution function (CDF) of the standard normal distribution, which provides the area to the left of any given $z$-value.

Steps:

1. Find the area to the left of $z = -1.6$ using the standard normal table (or a calculator with the normal distribution function): $P(Z < -1.6) \approx 0.0548$
2. Find the area to the left of $z = -0.6$: $P(Z < -0.6) \approx 0.2743$
3. Calculate the area between $z = -1.6$ and $z = -0.6$ by subtracting the two areas: $\text{Area} = P(Z < -0.6) - P(Z < -1.6) = 0.2743 - 0.0548 = 0.2195$

Thus, the area under the standard normal curve between $z = -1.6$ and $z = -0.6$ is approximately 0.2195.

Would you like further details on any part of this calculation?

Here are 5 related questions to explore:

1. How can you calculate the area under the normal curve for any range?
2. What is the significance of a standard normal distribution in statistics?
3. How can technology (calculators, software) simplify finding areas under normal curves?
4. What are $z$-scores, and why are they important in standard normal distributions?
5. How do we interpret the area under the curve in real-world contexts?

Tip: When using the standard normal table, remember that it provides the cumulative probability from $-\infty$ to the $z$-value.