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Q: What percentage of scores fall between 0 and -2 in a normal distribution?
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What percentage of normally distributed scores lie under the normal curve?

100%. And that is true for any probability distribution.


What proportion of the scores in a normal distribution is approximately between z -1.16 and z 1.16?

Between z = -1.16 and z = 1.16 is approx 0.7540 (or 75.40 %). Which means ¾ (0.75 or 75%) of the normal distribution lies between approximately -1.16 and 1.16 standard deviations from the mean.


Why does a researcher want to go from a normal distribution to a standard normal distribution?

A researcher wants to go from a normal distribution to a standard normal distribution because the latter allows him/her to make the correspondence between the area and the probability. Though events in the real world rarely follow a standard normal distribution, z-scores are convenient calculations of area that can be used with any/all normal distributions. Meaning: once a researcher has translated raw data into a standard normal distribution (z-score), he/she can then find its associated probability.


Why in a normal distribution the distribution will be less spread out when the standard diviation of the raw scores is small?

The standard deviation (SD) is a measure of spread so small sd = small spread. So the above is true for any distribution, not just the Normal.


What proportion of a normal distribution is located between the two z scores -1.25 and 1.25?

Approx 78.88 % Normal distribution tables give the area under the normal curve between the mean where z = 0 and the given number of standard deviations (z value) to its right; negative z values are to the left of the mean. Looking up z = 1.25 gives 0.3944 (using 4 figure tables). → area between -1.25 and 1.25 is 0.3944 + 0.3944 = 0.7888 → the proportion of the normal distribution between z = -1.25 and z = 1.25 is (approx) 78.88 %

Related questions

What percentage of scores in a normal distribution would fall between z-scores of 1 and -2?

3


What percentage of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution?

99.7% of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution.


What percentage of normally distributed scores lie under the normal curve?

100%. And that is true for any probability distribution.


How do you find normal distribution of z-scores?

z-scores are distributed according to the standard normal distribution. That is, with the parameters: mean 0 and variance 1.


How would you characterize the distribution of scores in a normal distribution?

They are said to be Normally distributed.


When to you use a z scores or t scores?

If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.


Intelligence scores follow what kind of distribution?

The IQs of a large enough population can be modeled with a Normal Distribution


What proportion of the scores in a normal distribution is approximately between z -1.16 and z 1.16?

Between z = -1.16 and z = 1.16 is approx 0.7540 (or 75.40 %). Which means ¾ (0.75 or 75%) of the normal distribution lies between approximately -1.16 and 1.16 standard deviations from the mean.


What percentage of the area would the Empirical Rule say is between z -3.00 and z 3.00?

Assuming that you are refering to the standard normal distribution and the z-scores, the answer is 99.73%. If the assumption is incorrect, please resubmit the questionwith more information.


For a normal distribution what z-score value separates the lowest 10 percent of the scores from the rest of the distribution?

-1.28


How do you to get the probability in normal distribution?

You calculate the z-scores and then use published tables.


What is the percentage of the population under the standard distribution curve between the Z scores of negative 1.96 and positive 1.96?

95% of the area falls between Z = -1.96 & 1.96.