We look up 1.5 in the standard normal distribution table, and we find the probability to be 0.0668. Say we want to find the probability of getting a z-score of 1.5 or greater. To calculate right-tail probabilities, we use the same standard normal distribution table. For example, if we want to know the probability of getting a z-score of 1.5 or greater, we are calculating a right-tail probability. In other words, we are interested in finding the probability of getting a value greater than a certain z-score. Right-tail probabilities are the probabilities that a z-score will fall to the right of a certain point on a standard normal distribution curve. We look up -1.5 in the standard normal distribution table, and we find the probability to be 0.0668. Say we want to find the probability of getting a z-score of -1.5 or less. Let's explore an example to better understand this. To calculate left-tail probabilities, we use the standard normal distribution table, which provides us with the probabilities associated with different z-scores. For example, if we want to know the probability of getting a z-score of -1.5 or less, we are calculating a left-tail probability. In simpler terms, this means that we are interested in finding the probability of getting a value less than a certain z-score. Left-tail probabilities are the probabilities that a z-score will fall to the left of a certain point on a standard normal distribution curve.
