A distribution with a mean of µ = 56 and a standard deviation of s = 20 is being transformed into a standardized distribution with µ = 50 and s = 10. Find the new, standardized score each of the following values from the original population. a) X = 46

b) X = 76

c) X = 40

d) X = 80

Step-by-step explanation:

Given that a distribution with a mean of µ = 56 and a standard deviation of s = 20 is being transformed into a standardized distribution with µ = 50 and s = 10

For this we calculate X-mu / s for the I distribution.

Use this to find X' = new std devition*answer we got + new mean

x x-mu/s New X

46 - 0.5 45

76 1 60

40 - 0.8 42

80 1.2 62