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If you have a variable whose distribution is approximately Gaussian (Normal), then the z-score gives the probability of observing a value that is equal to or more extreme. This is usually in the context of testing some hypothesis about the mean of the variable.
A very low probability would suggest that your hypothesis is wrong or that your assumptions about the data are wrong or that you have just had the misfortune of an unlikely event actually happening!
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When finding a confidence interval for true mean spent of all citizens should you us a z-score or t-score?
If the sample size is less then 30 use the T table, if greater then 30 use the Z table.
Calculate the z-score for a test score of 87 if the mean test score is 81.1 and standrd deviation is 11.06?
z score = (test score - mean score)/SD z score = (87-81.1)/11.06z score = 5.9/11.06z score = .533You can use a z-score chart to calculate the probability from there.
How do you use the z-score to determine a normal curve?
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
How do you find the raw score when you don't have the z score?
Go back to the basic data, estimate the sample mean and the standard error and use these to estimate the Z-score.
A student scored 527 on GRE verbal test what is his percentile rank in a normalized distribution with a mean of 500 and standard deviation of 100?
(527-500)/100= Z-score. Then, you should look at the table for this given Z score
