halfway between two entries, use the $z$-score haliway between the corresponding $z$-scores. If convenient, use technology to find the $z$-score. \[ 0.047 \] Click to view page 1 of the table click to view page 2 of the table. The cumulative area corresponds to the z-score of $\square$ (Round to three decimal places as needed)

Step 1 ：We are given a cumulative area of 0.047 in a standard normal distribution and asked to find the corresponding z-score.

Step 2 ：We can use the inverse of the cumulative distribution function (also known as the percent-point function or quantile function) to find the z-score. This function gives the value below which a given percentage of the data falls.

Step 3 ：Using the scipy.stats library in Python, we can use the ppf function to find the z-score. The code is as follows: \n ```python \n from scipy.stats import norm \n p = 0.047 \n z = norm.ppf(p) \n z \n ```

Step 4 ：Running this code gives us a z-score of approximately -1.675.

Step 5 ：This means that a value that is 1.675 standard deviations below the mean has a cumulative probability of 0.047 in a standard normal distribution.

Step 6 ：So, the cumulative area corresponds to the z-score of \(\boxed{-1.675}\).