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

Question

Jaelynn

Mathematics

3 March, 22:21

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

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Answers (1)

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Mallory · Answer 1

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

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 = 46b) X = 76c) X = 40d) X = 80

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