11/10/2023 0 Comments Z score calculator ti 83Approximately what percentage of students score greater than 87 on the exam? The scores on a certain exam are normally distributed with mean μ = 85 and standard deviation σ = 8. We can also use the Area to the Right of Z-Score Calculator to find that the area to the right of z = -1.07 is 0.8577.Įxample 2: Area to the Right of Positive Z-Score Method 2: Use Area to the Right of Z-Score Calculator Thus, the area to the right is calculated as 1 – 0.1423 = is 0.8577.Īpplied to our scenario, this means approximately 85.77% of dolphins weight more than 284 pounds. This represents the area to the left of z = -1.07. To find the area to the right of the z-score, we can simply look up the value -1.07 in the z-table: We can use one of two methods to find the area to the right of this z-score: The z-score for a weight of 284 pounds would be calculated as z = (284 – 300) / 15 = -1.07 Approximately what percentage of dolphins weigh more than 284 pounds? The weight of a certain species of dolphins is normally distributed with mean μ = 300 pounds and standard deviation σ = 15 pounds. Example 1: Area to the Right of Negative Z-Score The following examples show how to use each of these methods in practice. Use the Area to the Right of Z-Score Calculator. To find the area under a normal distribution that lies to the right of a given z-score, we can use one of two methods:Ģ. We use the following formula to calculate a z-score for a given value: In statistics, a z-score tells us how many standard deviations away a given value lies from a population mean.
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