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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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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.
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.
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.
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 - μ) / σ is the formula where x is the raw score and z is the z-score. μ and σ are the mean and standard deviations and must be known numbers. Multiply both sides by σ zσ = x-μ Add μ to both sides μ + zσ = x x = μ + zσ You calculate the raw score x , given the z-score, μ and σ 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
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 z-score corresponds to this value?
There is insufficient information in the question to answer it. To determine Z score, you need raw score, mean, and standard deviation. Please restate 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.
