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Sometimes, given a random variable X, you want to know the value, X= x such that the proportion of values that which are at least as extreme as x is a given percentage.
When testing for the location of the mean, m, of a normal distribution you may wish to be 95% sure that the mean lies within some interval. If the interval is symmetric about m, and Z(m) is the z score for the mean, then you require Prob(Z(l) < Z(m) < Z(u)) = 0.05. This establishes the lower and upper bounds for the interval. It is easier to convert these to the raw scores to determine the lower and upper bounds for x-bar for testing whether or not the sample mean is consistent with the hypothesised mean.
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How do you compute a z-score for the Beery VMI?
To compute a z-score for the Beery Visual-Motor Integration (VMI) test, first obtain the raw score from the test. Then, use the mean and standard deviation of the normative sample for the Beery VMI to calculate the z-score using the formula: ( z = \frac{(X - \mu)}{\sigma} ), where ( X ) is the raw score, ( \mu ) is the mean, and ( \sigma ) is the standard deviation. The resulting z-score indicates how many standard deviations the raw score is from the mean of the normative population.
Is a negative z score always an indicator that the raw score is below the mean?
Yes.z = (raw score - mean)/standard error.Since the standard error is positive, z < 0 => (raw score - mean) < 0 => raw score < mean.
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.
A raw score of 6 has a z score of what?
A z-score requires the mean and standard deviation (or standard error). There is, therefore, not enough information to answer the question.
What the z-score of a person with a raw score of 20?
There is not enough information to answer your question. To determine a Z-Score, the mean and standard deviation is also required.
