answersLogoWhite

0

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.

User Avatar

Wiki User

8y ago

What else can I help you with?

Related Questions

How do you calculate raw score if z-score is given?

Without more information you cannot.


How do you calculate a raw score from a z score?

z = (x - &mu;) / &sigma; is the formula where x is the raw score and z is the z-score. &mu; and &sigma; are the mean and standard deviations and must be known numbers. Multiply both sides by &sigma; z&sigma; = x-&mu; Add &mu; to both sides &mu; + z&sigma; = x x = &mu; + z&sigma; You calculate the raw score x , given the z-score, &mu; and &sigma; by using the above formula.


What does it mean if the Z score of a test is equal to 0?

If the Z Score of a test is equal to zero then the raw score of the test is equal to the mean. Z Score = (Raw Score - Mean Score) / Standard Deviation


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.


Does a positive raw score always result in a positive z score?

No.


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 z score for a raw score of 70?

There is not enough information to answer your question. To determine a Z-Score, the mean and standard deviation are also required.


What is the z score for a given raw score?

Let your raw score be x and M the mean and S the standard deviation. The Z score for your specific x is Z=(x-M)/S So say your score is 80 (out of 100) and the mean is 70 and the standard deviation is 10. Then the z score for your 80 is: (80-70)/10=1 If on the other hand you got a 60, then the z score would be -1.


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.


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 is the z score for 0.71?

This question cannot be answered. You need the mean and standard deviation in order to compute a Z score for a Raw score. Please restate the question.