Final Answer:
1) The 39th percentile for the standard normal distribution is approximately -0.2729.
2) This value is obtained by interpolating between the z-scores corresponding to the 30th and 40th percentiles.
Step-by-step explanation:
1) Percentiles represent the percentage of data points below a particular value in a distribution. To find the 39th percentile, we interpolate between the z-scores corresponding to the 30th and 40th percentiles on the standard normal distribution table.
2) Interpolation is used because percentiles may not always align precisely with given z-scores on the table. By considering the surrounding percentiles, we estimate the corresponding z-score for the 39th percentile, resulting in a value of approximately -0.2729.