This means that the probability of getting a z-score less than -1.25 is 0.1056. We look up -1.25 in the negative z-score column of the standard normal distribution table and find its associated probability to be 0.1056. Say we want to find the probability of getting a z-score less than -1.25. Let's take an example to understand how to use the standard normal distribution table to calculate probabilities. The table is used to find the probability of getting a z-score less than, greater than, or between certain values.Įxample of how to use the standard normal distribution table to calculate probabilities The table gives us the area under the standard normal distribution curve to the left of a given z-score. The positive z-scores represent the right side of the standard normal distribution curve, while the negative z-scores represent the left side of the curve. The table is divided into two parts - the positive z-scores and the negative z-scores. The standard normal distribution table is a table that provides us with the probabilities associated with different z-scores. Now that we understand the different types of probabilities in z-scores, let's explore how we can calculate these probabilities using z-scores.Įxplanation of the standard normal distribution table We then subtract the left-tail probability from the right-tail probability to get the two-tail probability, which is 0.9332. We look up -1.5 and 1.5 in the standard normal distribution table and find their respective probabilities to be 0.0668. Say we want to find the probability of getting a z-score between -1.5 and 1.5. However, we need to make a few adjustments to our calculations. To calculate two-tail probabilities, we use the standard normal distribution table as well. For example, if we want to know the probability of getting a z-score between -1.5 and 1.5, we are calculating a two-tail probability. This means that we are interested in finding the probability of getting a value between two z-scores. Two-tail probabilities are the probabilities that a z-score will fall within a certain range 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 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.
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