In: Math
2. If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003.
3. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5?
4. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=53.1
Solution:
2) If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003.
We have to find a raw score is associated with a z-score of +2.003
That is find x value for a z-score of +2.003.
Use following formula:
Thus a raw score is associated with a z-score of +2.003 is 120.03
3) Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5?
We have to find z-score is associated with a raw score of X=43.5.
z score formula is:
A z-score is associated with a raw score of X=43.5 is z = -1.30
4) Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=53.1
We have to find z-score is associated with a raw score of X=53.1.
z score formula is:
Thus a z-score is associated with a raw score of X=53.1 is z = 0.62