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The z-score table is the cumulative distribution for the Standard Normal Distribution. In real life very many random variables can be modelled, at least approximately, by the Normal (or Gaussian) distribution. It will have its own mean and variance but the Z transform converts it into a standard Normal distribution (mean = 0, variance = 1). The Z-distribution is then used to make statistical inferences about the data.
However, there is no simple analytical method to calculate the values of the distribution function. So, it has been done and tabulated for easy reference.
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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.
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
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.
What is the value of a 'z' score of 0?
A z-score of 0 means the value is the mean.
What is the z-score for 1.87?
The z-score must be 1.87: the probability cannot have that value!
