Essentials of Statistics for the B...
Solutions
Essentials of Statistics for the B...
A distribution with a mean of μ = 38 and a standard deviation of σ = 5 is transformed into a standardized distribution with μ = 50 and σ = 10. Find the new, standardized score for each of the following values from the original population.
a. X = 39
b. X = 43
c. X = 35
d. X = 28
a.
To find: The new standardized score for
Given Info:
The population has a mean of
The new distribution has a mean of
Calculation:
Use the formula of z score to transform the original raw scores into z-scores as follows:
The formula of specified value of X is,
Substitute the value 39 for X, 38 for
b.
To find: The new standardized score for
c.
To find: The new standardized score for
d.
To find: The new standardized score for
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