When we look at this, and we are to the right of the mean, and so we're gonna haveĪ positive z-score. We want it to be at least 70% and then come up with theĬorresponding z-score. This time we're lookingįor the percentage. Started with the z-score and were looking for the percentage. The standard deviation to come up with an actual value. And then we can take that z-score and use the mean and So what we can do, we can use a z-table to say for what z-score is 70% of the distribution less than that. So that means that thisĪrea right over here is going to be 30% or 0.3. Let's say it is right over here, that if you are at that score, you have reached the minimum threshold to get an additional screening. And you could also go standardĭeviations below the mean, this right over here wouldīe 71, this would be 62, but what we're concernedĪbout is the top 30% because that is who is going to be tested. So on this normal distribution, we have one standardĭeviation above the mean, two standard deviations above the mean, so this distance right over here is nine. The standard deviation is nine beats per minute. And they tell us several things about this normal distribution. They're telling us that the distribution of resting pulse ratesĪre approximately normal. Know how to tackle this, I encourage you to pause this Receive additional screening? Round to the nearest whole number.
Pulse rate at that school for students who will Whose resting pulse rates are in the top 30% of the To provide additional screening to students Mean of 80 beats per minute and standard deviation NOTE: TI-Nspire users may refer to the TI-84 Plus family guidebook.Of resting pulse rates of all students at Santa Maria High School was approximately normal with Please see the TI-83 Plus family and TI-84 Plus family guidebooks for additional information.
The probability associated with a Z-score of. Press and locate the ShadeNorm( command and press.Set your window settings, by pressing and setting your values to xmin = - 5, xmax = 5, ymin = -.1 and ymax =.1 can be found by entering the following: On TI-83 Plus family and TI-84 Plus family graphing calculators, the area under the standard normal curve for a z-value of. Z-scores can be looked up in a table (z-table) to find the area under the standard normal curve (or probability) to the left of the z-value. Where x is the observation, m is the mean and s is standard deviation.Ī standard observation is used to determine how many standard deviations the original observation falls from the mean. The formula for determining the Z-score is: What is the Z-score on a TI-83 Plus family, TI-84 Plus family, or TI-Nspire™ handheld in TI-84 Plus mode?Ī Z-score is a value obtained when data from a symmetric distribution is standardized.
Solution 11997: The Z-Score on a TI-83 Plus Family, TI-84 Plus Family, or TI-Nspire™ Handheld in TI-84 Plus Mode.
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