Final answer:
Approximately 84.13% of a standard normal distribution lies to the left of z=1.0. This percentage is determined using a standard normal distribution table, often referred to as a z-table.
Step-by-step explanation:
The question asks what percentage of a standard normal distribution is less than z=1.0. In the context of a standard normal distribution (which has a mean of 0 and a standard deviation of 1), a z-score represents the number of standard deviations a data point is from the mean.
The percentage of the distribution that lies to the left of a given z-score can be found using a z-table, which provides cumulative probabilities for different z-scores.
For z=1.0, the standard normal distribution table shows that approximately 84.13% of the data falls to the left of this z-score. As you seek to provide accurate and insightful assistance with assignments involving normal distributions or z-scores, remember the importance of a z-table for finding probabilities associated with specific intervals on the distribution curve.
The concept of a z-score and its associated probabilities is fundamental in statistics and is a crucial component of analytical methodologies in various scientific and social studies.