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Calculate the z-score for a test score of 87 if the mean test score is 81.1 and standrd deviation is 11.06?
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How can you calculate z-score?
If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s
Why use the T score?
T-score is used when you don't have the population standard deviation and must use the sample standard deviation as a substitute.
Consider a population with a mean of 63.3 and a standard deviation of 3.82 and a score of 61.6. Calculate the z-score for 61.6 from a sample of size 19?
Mean μ = 63.3 Standard deviation σ = 3.82 Standard error σ / √ n = 3.82 / √ 19 = 0.8763681 z = (xbar - μ) / (σ / √ n ) z = (61.6-63.3) / 0.876368 z = -1.9398
What happens to the standard score as the standard deviation increases?
The absolute value of the standard score becomes smaller.
If a test score of 83 was transformed into a standard score of -1.5 and the standard deviation of the scores was 4 what is the mean?
78
Calculate a deviation score?
27
How do you calculate standard deviation with the help of z-score?
A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.
What is the z score of x equals 108?
You need the mean and standard deviation in order to calculate the z-score. Neither are given.
How do you calculate a priori probability when you know standard deviation and mean scores?
If it is possible to assume normality, simply convert the desired score to a z-score, and look up the probability for that.
Which is better a score of 92 on a test with a mean of 71 and a standard deviation of 15 or a score of 688 on a test with a mean of 493 and a standard deviation of 150?
score of 92
How can you calculate z-score?
If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s
Why use the T score?
T-score is used when you don't have the population standard deviation and must use the sample standard deviation as a substitute.
What will the sum of the deviation score always be?
zero
What happens to the standard score as the standard deviation increase?
The standardised score decreases.
When is a t test better than a z score?
When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.
Is the different between an individual score and mean of the group of scores is called deviation?
No, it is called the absolute deviation.
A z score is most affected by?
standard deviation
